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 756, 552, 868 i.e. 1078056 smallest integer divisible by all numbers.
Least common multiple (LCM) of 756, 552, 868 is 1078056.
LCM(756, 552, 868) = 1078056
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 756, 552, 868 |
2 | 378, 276, 434 |
3 | 189, 138, 217 |
7 | 63, 46, 217 |
9, 46, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 9 x 46 x 31 = 1078056
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 756,552,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,552,868) = 4
common factors(in case of two or more numbers have common factors) = 84
GCF(756,552,868) x common factors =4 x 84 = 336
LCM(756,552,868) = ( 756 × 552 × 868 ) / 336
LCM(756,552,868) = 362226816 / 336
LCM(756,552,868) = 1078056
∴ Least Common Multiple of 756,552,868 is 1078056
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 756, 552, 868?
Answer: LCM of 756, 552, 868 is 1078056.
2. What are the Factors of 1078056?
Answer: Factors of 1078056 are . There are integers that are factors of 1078056
3. How to Find the LCM of 756, 552, 868 ?
Least Common Multiple of 756, 552, 868.
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(756, 552, 868) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 23 x 31 = 1078056.