LCM of 21 and 77
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What is lcm of 21 times 77 ?
To get the least common multiple of 21 and 77, we we need to get the factors of each value first and then multiply all the factors together.
Method 1: LCM OF 21 AND 77 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 21 = 3 , 7
Prime factors of 77 = 7 , 11
To get the lowest common multiples of 21 and 77, we combine the factors and select the least occurance.
Which is 3 , 7 and 7 , 11 combined and unique values selected to give answer
(3 , 7 ) (7 , 11 ) = 3 , 7 , 11
LCM is gotten by multiplying the values of the least common factors 3 x 7 x 11 together to get LCM of 21 and 77 = 231
LCM of 21 and 77 = 231
Method 2: LCM OF 21 AND 77 BY Listing Multiples
Note: Multiples are gotten by multiplying numbers with 1, 2, 3, 4, 5 ... etc, to get common multiples.Multiples of 21 = 21 , 42 , 63 , 84 , 105 , 126 , 147 , 168 , 189 , 210 , 231
Multiples of 77 = 77 , 154 , 231 , 308 , 385 , 462 , 539 , 616 , 693 , 770 , 847 , 924
Common multiple in the 2 numbers are = 231
So the lowest common multiple in each number is the lcm which is = 231
Lcm of 21 and 77 is = 231
Method 3: LCM OF 21 AND 77 BY Division
| 3 | 21 , 77 | 7 , 77 |
| 7 | 7 , 77 | 1 , 11 |
| The common multiples are 3 , 7 | ||
| LCM of is calculated by multiplying 3 x 7 = 231 | ||
Method 4: LCM OF 21 AND 77 BY GCF FORMULA
Multiply the two numbers together and divide by their Greatest Common Factor (GCF)
GCF of 21 and 77 = 7
Multiply 21 and 77 = 21 x 77 =1617
Lcm is gotten by dividng the multiplication of the two values = 1617 ÷ 7 = 231
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Calculate lcm of 21 and 77
Prime factors of 213 , 7 Prime factors of 777 , 11 LCM of 21 and 77231 |
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The lcm of 21 and 77 is the least positive integer values that divides the numbers 21 and 77 without a remainder, which is the lowest common multiples of 21 and 77. we have elaborated the lcm of 21 and 77, with the method of computing it easily using the calculator above and selecting least common multiple from the factors of 21 and 77. Once factors of 21 = 3 , 7 is determined and factors of 77 = 7 , 11 is ascertained, lcm of Twenty One and Seventy Seven 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 Twenty One and Seventy Seven 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 Twenty One and Seventy Seven
Answer: LCM of Twenty One and Seventy Seven 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 Twenty One and Seventy Seven important?
Answer: It is used for subtracting and adding fractions denominator and numerator easily like 2/21 and 3/77. 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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22 and 80 lcm