Least Common Multiple of 189, 896

Q: How to Find the LCM of 189, 896 ?

Least Common Multiple of 189, 896 = 24192 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(189, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 = 24192.

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 189, 896 i.e. 24192 smallest integer divisible by all numbers.

Least common multiple (LCM) of 189, 896 is 24192.

LCM(189, 896) = 24192

LCM of 189, 896

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

Least Common Multiple of 189, 896 by common division method
Least Common Multiple of 189, 896 with GCF Formula

Least Common Multiple of 189,896

Least Common Multiple (LCM) of 189,896 is 24192

7	189, 896
	27, 128

∴ So the LCM of the given numbers is 7 x 27 x 128 = 24192

Least Common Multiple of 189,896 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 189,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,896) = 7

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

GCF(189,896) x common factors =7 x 1 = 7

LCM(189,896) = ( 189 × 896 ) / 7

LCM(189,896) = 169344 / 7

LCM(189,896) = 24192

∴ Least Common Multiple of 189,896 is 24192

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 189, 896

1. What is the LCM of 189, 896?

Answer: LCM of 189, 896 is 24192.

2. What are the Factors of 24192?

Answer: Factors of 24192 are . There are integers that are factors of 24192

3. How to Find the LCM of 189, 896 ?

Least Common Multiple of 189, 896.

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(189, 896) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 = 24192.