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 965, 270, 752, 639, 916 i.e. 318568440240 smallest integer divisible by all numbers.
Least common multiple (LCM) of 965, 270, 752, 639, 916 is 318568440240.
LCM(965, 270, 752, 639, 916) = 318568440240
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 965, 270, 752, 639, 916 |
2 | 965, 135, 376, 639, 458 |
3 | 965, 135, 188, 639, 229 |
3 | 965, 45, 188, 213, 229 |
5 | 965, 15, 188, 71, 229 |
193, 3, 188, 71, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 193 x 3 x 188 x 71 x 229 = 318568440240
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 965,270,752,639,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,270,752,639,916) = 1
common factors(in case of two or more numbers have common factors) = 360
GCF(965,270,752,639,916) x common factors =1 x 360 = 360
LCM(965,270,752,639,916) = ( 965 × 270 × 752 × 639 × 916 ) / 360
LCM(965,270,752,639,916) = 114684638486400 / 360
LCM(965,270,752,639,916) = 318568440240
∴ Least Common Multiple of 965,270,752,639,916 is 318568440240
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 965, 270, 752, 639, 916?
Answer: LCM of 965, 270, 752, 639, 916 is 318568440240.
2. What are the Factors of 318568440240?
Answer: Factors of 318568440240 are . There are integers that are factors of 318568440240
3. How to Find the LCM of 965, 270, 752, 639, 916 ?
Least Common Multiple of 965, 270, 752, 639, 916.
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(965, 270, 752, 639, 916) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 47 x 71 x 193 x 229 = 318568440240.