Least Common Multiple of 61, 75, 112

Q: How to Find the LCM of 61, 75, 112 ?

Least Common Multiple of 61, 75, 112 = 512400 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(61, 75, 112) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 61 = 512400.

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 61, 75, 112 i.e. 512400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 61, 75, 112 is 512400.

LCM(61, 75, 112) = 512400

LCM of 61, 75, 112

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

Least Common Multiple of 61, 75, 112 by common division method
Least Common Multiple of 61, 75, 112 with GCF Formula

Least Common Multiple of 61,75,112

Least Common Multiple (LCM) of 61,75,112 is 512400

Given numbers has no common factors except 1. So, there LCM is their product i.e 512400

Least Common Multiple of 61,75,112 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 61,75,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,75,112) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(61,75,112) x common factors =1 x 1 = 1

LCM(61,75,112) = ( 61 × 75 × 112 ) / 1

LCM(61,75,112) = 512400 / 1

LCM(61,75,112) = 512400

∴ Least Common Multiple of 61,75,112 is 512400

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 61, 75, 112

1. What is the LCM of 61, 75, 112?

Answer: LCM of 61, 75, 112 is 512400.

2. What are the Factors of 512400?

Answer: Factors of 512400 are . There are integers that are factors of 512400

3. How to Find the LCM of 61, 75, 112 ?

Least Common Multiple of 61, 75, 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(61, 75, 112) = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 61 = 512400.