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 684, 632, 714 i.e. 12860568 smallest integer divisible by all numbers.
Least common multiple (LCM) of 684, 632, 714 is 12860568.
LCM(684, 632, 714) = 12860568
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 684, 632, 714 |
2 | 342, 316, 357 |
3 | 171, 158, 357 |
57, 158, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 57 x 158 x 119 = 12860568
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 684,632,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,632,714) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(684,632,714) x common factors =2 x 12 = 24
LCM(684,632,714) = ( 684 × 632 × 714 ) / 24
LCM(684,632,714) = 308653632 / 24
LCM(684,632,714) = 12860568
∴ Least Common Multiple of 684,632,714 is 12860568
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 632, 714?
Answer: LCM of 684, 632, 714 is 12860568.
2. What are the Factors of 12860568?
Answer: Factors of 12860568 are . There are integers that are factors of 12860568
3. How to Find the LCM of 684, 632, 714 ?
Least Common Multiple of 684, 632, 714.
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(684, 632, 714) = 2 x 2 x 2 x 3 x 3 x 7 x 17 x 19 x 79 = 12860568.