LCM of 8 and 21
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What is lcm of 8 times 21 ?
To get the least common multiple of 8 and 21, we we need to get the factors of each value first and then multiply all the factors together.
Method 1: LCM OF 8 AND 21 BY Prime Factorization
Note: Prime numbers are gotten by dividing numbers with 2, 3 ,5, 7 etc to see the one it is divisible with.Prime factors of 8 = 2 , 2 , 2
Prime factors of 21 = 3 , 7
To get the lowest common multiples of 8 and 21, we combine the factors and select the least occurance.
Which is 2 , 2 , 2 and 3 , 7 combined and unique values selected to give answer
(2 , 2 , 2 ) (3 , 7 ) = 2 , 2 , 2 , 3 , 7
LCM is gotten by multiplying the values of the least common factors 2 x 2 x 2 x 3 x 7 together to get LCM of 8 and 21 = 168
LCM of 8 and 21 = 168
Method 2: LCM OF 8 AND 21 BY Listing Multiples
Note: Multiples are gotten by multiplying numbers with 1, 2, 3, 4, 5 ... etc, to get common multiples.Multiples of 8 = 8 , 16 , 24 , 32 , 40 , 48 , 56 , 64 , 72 , 80 , 88 , 96 , 104 , 112 , 120 , 128 , 136 , 144 , 152 , 160 , 168
Multiples of 21 = 21 , 42 , 63 , 84 , 105 , 126 , 147 , 168 , 189 , 210 , 231 , 252 , 273 , 294 , 315 , 336 , 357 , 378 , 399 , 420 , 441 , 462
Common multiple in the 2 numbers are = 168
So the lowest common multiple in each number is the lcm which is = 168
Lcm of 8 and 21 is = 168
Method 3: LCM OF 8 AND 21 BY Division
| 2 | 8 , 21 | 4 , 21 |
| 2 | 4 , 21 | 2 , 21 |
| 21 | 2 , 21 | 2 , 1 |
| The common multiples are 2 , 2 , 21 | ||
| LCM of is calculated by multiplying 2 x 2 x 21 = 168 | ||
Method 4: LCM OF 8 AND 21 BY GCF FORMULA
Multiply the two numbers together and divide by their Greatest Common Factor (GCF)
GCF of 8 and 21 = 1
Multiply 8 and 21 = 8 x 21 =168
Lcm is gotten by dividng the multiplication of the two values = 168 ÷ 1 = 168
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Calculate lcm of 8 and 21
Prime factors of 82 , 2 , 2 Prime factors of 213 , 7 LCM of 8 and 21168 |
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The lcm of 8 and 21 is the least positive integer values that divides the numbers 8 and 21 without a remainder, which is the lowest common multiples of 8 and 21. we have elaborated the lcm of 8 and 21, with the method of computing it easily using the calculator above and selecting least common multiple from the factors of 8 and 21. Once factors of 8 = 2 , 2 , 2 is determined and factors of 21 = 3 , 7 is ascertained, lcm of Eight and Twenty One can be determined easily.
To compute the lcm of two numbers easily, you can do that using our calculator tool. Our calculator tool computes lcm of Eight and Twenty One easily. All you need to do is to enter the values on the form and the click calculate to compute lcm.
Use of LCM of Eight and Twenty One
Answer: LCM of Eight and Twenty One is used in solving fractions of numbers that has different denominators with these numbers and fine a common denominator for the with the lcm.
How is the usage of least common factor of numbers like Eight and Twenty One important?
Answer: It is used for subtracting and adding fractions denominator and numerator easily like 2/8 and 3/21. You can do this by getting lcm of the dividends and multiply to the numerator to get your values. Then you can then add or minus, depending on the mathematical operation you are carrying out.
What is Multiplication?
Answer:Multiplication is one of mathematics four elementary arithmetic operations. The others are addition, subtraction and division. Multiplication is denoted by the multiplying sign x.
What is the difference between multiplication, division, addition and subtraction?
Answer:Multiplication is multiplying a given value by the second value, it is denoted by sign x, division is dividing given value by the second value, it is denoted by sign /, Addition is adding of numbers together, it is denoted by sign +, Substraction is subtracting values from another number, it is denoted by -.
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