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 516, 478, 717 i.e. 123324 smallest integer divisible by all numbers.
Least common multiple (LCM) of 516, 478, 717 is 123324.
LCM(516, 478, 717) = 123324
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 516, 478, 717 |
3 | 258, 239, 717 |
239 | 86, 239, 239 |
86, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 239 x 86 x 1 x 1 = 123324
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 516,478,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,478,717) = 1
common factors(in case of two or more numbers have common factors) = 1434
GCF(516,478,717) x common factors =1 x 1434 = 1434
LCM(516,478,717) = ( 516 × 478 × 717 ) / 1434
LCM(516,478,717) = 176846616 / 1434
LCM(516,478,717) = 123324
∴ Least Common Multiple of 516,478,717 is 123324
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 516, 478, 717?
Answer: LCM of 516, 478, 717 is 123324.
2. What are the Factors of 123324?
Answer: Factors of 123324 are . There are integers that are factors of 123324
3. How to Find the LCM of 516, 478, 717 ?
Least Common Multiple of 516, 478, 717.
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(516, 478, 717) = 2 x 2 x 3 x 43 x 239 = 123324.