Least Common Multiple of 490, 167, 752, 838, 112

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 490, 167, 752, 838, 112 i.e. 12891825520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 490, 167, 752, 838, 112 is 12891825520.

LCM(490, 167, 752, 838, 112) = 12891825520

LCM of 490, 167, 752, 838, 112

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

LCM of:

Least Common Multiple of 490,167,752,838,112

Least Common Multiple (LCM) of 490,167,752,838,112 is 12891825520

2 490, 167, 752, 838, 112
2 245, 167, 376, 419, 56
2 245, 167, 188, 419, 28
2 245, 167, 94, 419, 14
7 245, 167, 47, 419, 7
35, 167, 47, 419, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 35 x 167 x 47 x 419 x 1 = 12891825520

Least Common Multiple of 490,167,752,838,112 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 490,167,752,838,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,167,752,838,112) = 1

common factors(in case of two or more numbers have common factors) = 448

GCF(490,167,752,838,112) x common factors =1 x 448 = 448

LCM(490,167,752,838,112) = ( 490 × 167 × 752 × 838 × 112 ) / 448

LCM(490,167,752,838,112) = 5775537832960 / 448

LCM(490,167,752,838,112) = 12891825520

∴ Least Common Multiple of 490,167,752,838,112 is 12891825520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 490, 167, 752, 838, 112

1. What is the LCM of 490, 167, 752, 838, 112?

Answer: LCM of 490, 167, 752, 838, 112 is 12891825520.

2. What are the Factors of 12891825520?

Answer: Factors of 12891825520 are . There are integers that are factors of 12891825520

3. How to Find the LCM of 490, 167, 752, 838, 112 ?

Least Common Multiple of 490, 167, 752, 838, 112.

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(490, 167, 752, 838, 112) = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 47 x 167 x 419 = 12891825520.