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 708, 748, 816 i.e. 529584 smallest integer divisible by all numbers.
Least common multiple (LCM) of 708, 748, 816 is 529584.
LCM(708, 748, 816) = 529584
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 708, 748, 816 |
2 | 354, 374, 408 |
3 | 177, 187, 204 |
17 | 59, 187, 68 |
59, 11, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 59 x 11 x 4 = 529584
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 708,748,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,748,816) = 4
common factors(in case of two or more numbers have common factors) = 204
GCF(708,748,816) x common factors =4 x 204 = 816
LCM(708,748,816) = ( 708 × 748 × 816 ) / 816
LCM(708,748,816) = 432140544 / 816
LCM(708,748,816) = 529584
∴ Least Common Multiple of 708,748,816 is 529584
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 708, 748, 816?
Answer: LCM of 708, 748, 816 is 529584.
2. What are the Factors of 529584?
Answer: Factors of 529584 are . There are integers that are factors of 529584
3. How to Find the LCM of 708, 748, 816 ?
Least Common Multiple of 708, 748, 816.
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(708, 748, 816) = 2 x 2 x 2 x 2 x 3 x 11 x 17 x 59 = 529584.