Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 102, 396, 544 i.e. 53856 smallest integer divisible by all numbers.
Least common multiple (LCM) of 102, 396, 544 is 53856.
LCM(102, 396, 544) = 53856
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 102, 396, 544 |
2 | 51, 198, 272 |
3 | 51, 99, 136 |
17 | 17, 33, 136 |
1, 33, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 33 x 8 = 53856
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 102,396,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,396,544) = 2
common factors(in case of two or more numbers have common factors) = 204
GCF(102,396,544) x common factors =2 x 204 = 408
LCM(102,396,544) = ( 102 × 396 × 544 ) / 408
LCM(102,396,544) = 21973248 / 408
LCM(102,396,544) = 53856
∴ Least Common Multiple of 102,396,544 is 53856
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 102, 396, 544?
Answer: LCM of 102, 396, 544 is 53856.
2. What are the Factors of 53856?
Answer: Factors of 53856 are . There are integers that are factors of 53856
3. How to Find the LCM of 102, 396, 544 ?
Least Common Multiple of 102, 396, 544.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(102, 396, 544) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 17 = 53856.