LCM of 21 and 69

What is lcm of 21 times 69 ?

To get the least common multiple of 21 and 69, we we need to get the factors of each value first and then multiply all the factors together.

Method 1: LCM OF 21 AND 69 BY Prime Factorization

Prime factors of 21 = 3 , 7

Prime factors of 69 = 3 , 23

To get the lowest common multiples of 21 and 69, we combine the factors and select the least occurance.

Which is 3 , 7 and 3 , 23 combined and unique values selected to give answer

(3 , 7 ) (3 , 23 ) = 3 , 7 , 23

LCM is gotten by multiplying the values of the least common factors 3 x 7 x 23 together to get LCM of 21 and 69 = 483

LCM of 21 and 69 = 483

Method 2: LCM OF 21 AND 69 BY Listing Multiples

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 , 483

Multiples of 69 = 69 , 138 , 207 , 276 , 345 , 414 , 483 , 552 , 621 , 690 , 759 , 828 , 897 , 966 , 1035 , 1104 , 1173 , 1242 , 1311 , 1380 , 1449 , 1518 , 1587 , 1656

Common multiple in the 2 numbers are = 483

So the lowest common multiple in each number is the lcm which is = 483

Lcm of 21 and 69 is = 483

Method 4: LCM OF 21 AND 69 BY GCF FORMULA

Multiply the two numbers together and divide by their Greatest Common Factor (GCF)

GCF of 21 and 69 = 3

Multiply 21 and 69 = 21 x 69 =1449

Lcm is gotten by dividng the multiplication of the two values = 1449 ÷ 3 = 483

The lcm of 21 and 69 is the least positive integer values that divides the numbers 21 and 69 without a remainder, which is the lowest common multiples of 21 and 69. we have elaborated the lcm of 21 and 69, with the method of computing it easily using the calculator above and selecting least common multiple from the factors of 21 and 69. Once factors of 21 = 3 , 7 is determined and factors of 69 = 3 , 23 is ascertained, lcm of Twenty One and Sixty Nine 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 Sixty Nine 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 Sixty Nine

Answer: LCM of Twenty One and Sixty Nine 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 Sixty Nine important?

Answer: It is used for subtracting and adding fractions denominator and numerator easily like 2/21 and 3/69. 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 69 lcm    20 and 69 lcm