Least Common Multiple of 675, 192

Q: How to Find the LCM of 675, 192 ?

Least Common Multiple of 675, 192 = 43200 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(675, 192) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 = 43200.

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 675, 192 i.e. 43200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 675, 192 is 43200.

LCM(675, 192) = 43200

LCM of 675, 192

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

Least Common Multiple of 675, 192 by common division method
Least Common Multiple of 675, 192 with GCF Formula

Least Common Multiple of 675,192

Least Common Multiple (LCM) of 675,192 is 43200

3	675, 192
	225, 64

∴ So the LCM of the given numbers is 3 x 225 x 64 = 43200

Least Common Multiple of 675,192 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 675,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,192) = 3

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

GCF(675,192) x common factors =3 x 1 = 3

LCM(675,192) = ( 675 × 192 ) / 3

LCM(675,192) = 129600 / 3

LCM(675,192) = 43200

∴ Least Common Multiple of 675,192 is 43200

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 675, 192

1. What is the LCM of 675, 192?

Answer: LCM of 675, 192 is 43200.

2. What are the Factors of 43200?

Answer: Factors of 43200 are . There are integers that are factors of 43200

3. How to Find the LCM of 675, 192 ?

Least Common Multiple of 675, 192.

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(675, 192) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 = 43200.