Least Common Multiple of 298, 456, 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 298, 456, 112 i.e. 951216 smallest integer divisible by all numbers.

Least common multiple (LCM) of 298, 456, 112 is 951216.

LCM(298, 456, 112) = 951216

LCM of 298, 456, 112

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

LCM of:

Least Common Multiple of 298,456,112

Least Common Multiple (LCM) of 298,456,112 is 951216

2 298, 456, 112
2 149, 228, 56
2 149, 114, 28
149, 57, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 149 x 57 x 14 = 951216

Least Common Multiple of 298,456,112 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 298,456,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,456,112) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(298,456,112) x common factors =2 x 8 = 16

LCM(298,456,112) = ( 298 × 456 × 112 ) / 16

LCM(298,456,112) = 15219456 / 16

LCM(298,456,112) = 951216

∴ Least Common Multiple of 298,456,112 is 951216

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 298, 456, 112

1. What is the LCM of 298, 456, 112?

Answer: LCM of 298, 456, 112 is 951216.

2. What are the Factors of 951216?

Answer: Factors of 951216 are . There are integers that are factors of 951216

3. How to Find the LCM of 298, 456, 112 ?

Least Common Multiple of 298, 456, 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(298, 456, 112) = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 149 = 951216.