Least Common Multiple of 368, 632, 488, 712, 144

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 368, 632, 488, 712, 144 i.e. 1420486992 smallest integer divisible by all numbers.

Least common multiple (LCM) of 368, 632, 488, 712, 144 is 1420486992.

LCM(368, 632, 488, 712, 144) = 1420486992

LCM of 368, 632, 488, 712, 144

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 368,632,488,712,144

Least Common Multiple (LCM) of 368,632,488,712,144 is 1420486992

2 368, 632, 488, 712, 144
2 184, 316, 244, 356, 72
2 92, 158, 122, 178, 36
2 46, 79, 61, 89, 18
23, 79, 61, 89, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 23 x 79 x 61 x 89 x 9 = 1420486992

Least Common Multiple of 368,632,488,712,144 with GCF Formula

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 368,632,488,712,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,632,488,712,144) = 8

common factors(in case of two or more numbers have common factors) = 1024

GCF(368,632,488,712,144) x common factors =8 x 1024 = 8192

LCM(368,632,488,712,144) = ( 368 × 632 × 488 × 712 × 144 ) / 8192

LCM(368,632,488,712,144) = 11636629438464 / 8192

LCM(368,632,488,712,144) = 1420486992

∴ Least Common Multiple of 368,632,488,712,144 is 1420486992

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 368, 632, 488, 712, 144

1. What is the LCM of 368, 632, 488, 712, 144?

Answer: LCM of 368, 632, 488, 712, 144 is 1420486992.

2. What are the Factors of 1420486992?

Answer: Factors of 1420486992 are . There are integers that are factors of 1420486992

3. How to Find the LCM of 368, 632, 488, 712, 144 ?

Least Common Multiple of 368, 632, 488, 712, 144.

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(368, 632, 488, 712, 144) = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 61 x 79 x 89 = 1420486992.