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, 780, 516, 402 i.e. 51685140 smallest integer divisible by all numbers.
Least common multiple (LCM) of 989, 780, 516, 402 is 51685140.
LCM(989, 780, 516, 402) = 51685140
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 989, 780, 516, 402 |
2 | 989, 390, 258, 201 |
3 | 989, 195, 129, 201 |
43 | 989, 65, 43, 67 |
23, 65, 1, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 43 x 23 x 65 x 1 x 67 = 51685140
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 989,780,516,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,780,516,402) = 1
common factors(in case of two or more numbers have common factors) = 3096
GCF(989,780,516,402) x common factors =1 x 3096 = 3096
LCM(989,780,516,402) = ( 989 × 780 × 516 × 402 ) / 3096
LCM(989,780,516,402) = 160017193440 / 3096
LCM(989,780,516,402) = 51685140
∴ Least Common Multiple of 989,780,516,402 is 51685140
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 989, 780, 516, 402?
Answer: LCM of 989, 780, 516, 402 is 51685140.
2. What are the Factors of 51685140?
Answer: Factors of 51685140 are . There are integers that are factors of 51685140
3. How to Find the LCM of 989, 780, 516, 402 ?
Least Common Multiple of 989, 780, 516, 402.
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, 780, 516, 402) = 2 x 2 x 3 x 5 x 13 x 23 x 43 x 67 = 51685140.