Least Common Multiple of 438, 997, 728, 112, 363

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 438, 997, 728, 112, 363 i.e. 38466796368 smallest integer divisible by all numbers.

Least common multiple (LCM) of 438, 997, 728, 112, 363 is 38466796368.

LCM(438, 997, 728, 112, 363) = 38466796368

LCM of 438, 997, 728, 112, 363

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

LCM of:

Least Common Multiple of 438,997,728,112,363

Least Common Multiple (LCM) of 438,997,728,112,363 is 38466796368

2 438, 997, 728, 112, 363
2 219, 997, 364, 56, 363
2 219, 997, 182, 28, 363
3 219, 997, 91, 14, 363
7 73, 997, 91, 14, 121
73, 997, 13, 2, 121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 73 x 997 x 13 x 2 x 121 = 38466796368

Least Common Multiple of 438,997,728,112,363 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 438,997,728,112,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,997,728,112,363) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(438,997,728,112,363) x common factors =1 x 336 = 336

LCM(438,997,728,112,363) = ( 438 × 997 × 728 × 112 × 363 ) / 336

LCM(438,997,728,112,363) = 12924843579648 / 336

LCM(438,997,728,112,363) = 38466796368

∴ Least Common Multiple of 438,997,728,112,363 is 38466796368

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 438, 997, 728, 112, 363

1. What is the LCM of 438, 997, 728, 112, 363?

Answer: LCM of 438, 997, 728, 112, 363 is 38466796368.

2. What are the Factors of 38466796368?

Answer: Factors of 38466796368 are . There are integers that are factors of 38466796368

3. How to Find the LCM of 438, 997, 728, 112, 363 ?

Least Common Multiple of 438, 997, 728, 112, 363.

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(438, 997, 728, 112, 363) = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 11 x 13 x 73 x 997 = 38466796368.