Least Common Multiple of 112, 48, 872

Q: How to Find the LCM of 112, 48, 872 ?

Least Common Multiple of 112, 48, 872 = 36624 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(112, 48, 872) = 2 x 2 x 2 x 2 x 3 x 7 x 109 = 36624.

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 112, 48, 872 i.e. 36624 smallest integer divisible by all numbers.

Least common multiple (LCM) of 112, 48, 872 is 36624.

LCM(112, 48, 872) = 36624

LCM of 112, 48, 872

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

Least Common Multiple of 112, 48, 872 by common division method
Least Common Multiple of 112, 48, 872 with GCF Formula

Least Common Multiple of 112,48,872

Least Common Multiple (LCM) of 112,48,872 is 36624

2	112, 48, 872
2	56, 24, 436
2	28, 12, 218
2	14, 6, 109
	7, 3, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 3 x 109 = 36624

Least Common Multiple of 112,48,872 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 112,48,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,48,872) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(112,48,872) x common factors =8 x 16 = 128

LCM(112,48,872) = ( 112 × 48 × 872 ) / 128

LCM(112,48,872) = 4687872 / 128

LCM(112,48,872) = 36624

∴ Least Common Multiple of 112,48,872 is 36624

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 112, 48, 872

1. What is the LCM of 112, 48, 872?

Answer: LCM of 112, 48, 872 is 36624.

2. What are the Factors of 36624?

Answer: Factors of 36624 are . There are integers that are factors of 36624

3. How to Find the LCM of 112, 48, 872 ?

Least Common Multiple of 112, 48, 872.

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(112, 48, 872) = 2 x 2 x 2 x 2 x 3 x 7 x 109 = 36624.