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 989, 312, 936 i.e. 925704 smallest integer divisible by all numbers.
Least common multiple (LCM) of 989, 312, 936 is 925704.
LCM(989, 312, 936) = 925704
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 989, 312, 936 |
2 | 989, 156, 468 |
2 | 989, 78, 234 |
3 | 989, 39, 117 |
13 | 989, 13, 39 |
989, 1, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 989 x 1 x 3 = 925704
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 989,312,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,312,936) = 1
common factors(in case of two or more numbers have common factors) = 312
GCF(989,312,936) x common factors =1 x 312 = 312
LCM(989,312,936) = ( 989 × 312 × 936 ) / 312
LCM(989,312,936) = 288819648 / 312
LCM(989,312,936) = 925704
∴ Least Common Multiple of 989,312,936 is 925704
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 312, 936?
Answer: LCM of 989, 312, 936 is 925704.
2. What are the Factors of 925704?
Answer: Factors of 925704 are . There are integers that are factors of 925704
3. How to Find the LCM of 989, 312, 936 ?
Least Common Multiple of 989, 312, 936.
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(989, 312, 936) = 2 x 2 x 2 x 3 x 3 x 13 x 23 x 43 = 925704.