Least Common Multiple of 238, 546, 728

Q: How to Find the LCM of 238, 546, 728 ?

Least Common Multiple of 238, 546, 728 = 37128 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(238, 546, 728) = 2 x 2 x 2 x 3 x 7 x 13 x 17 = 37128.

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 238, 546, 728 i.e. 37128 smallest integer divisible by all numbers.

Least common multiple (LCM) of 238, 546, 728 is 37128.

LCM(238, 546, 728) = 37128

LCM of 238, 546, 728

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

Least Common Multiple of 238, 546, 728 by common division method
Least Common Multiple of 238, 546, 728 with GCF Formula

Least Common Multiple of 238,546,728

Least Common Multiple (LCM) of 238,546,728 is 37128

2	238, 546, 728
7	119, 273, 364
13	17, 39, 52
	17, 3, 4

∴ So the LCM of the given numbers is 2 x 7 x 13 x 17 x 3 x 4 = 37128

Least Common Multiple of 238,546,728 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 238,546,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,546,728) = 14

common factors(in case of two or more numbers have common factors) = 182

GCF(238,546,728) x common factors =14 x 182 = 2548

LCM(238,546,728) = ( 238 × 546 × 728 ) / 2548

LCM(238,546,728) = 94602144 / 2548

LCM(238,546,728) = 37128

∴ Least Common Multiple of 238,546,728 is 37128

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 238, 546, 728

1. What is the LCM of 238, 546, 728?

Answer: LCM of 238, 546, 728 is 37128.

2. What are the Factors of 37128?

Answer: Factors of 37128 are . There are integers that are factors of 37128

3. How to Find the LCM of 238, 546, 728 ?

Least Common Multiple of 238, 546, 728.

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(238, 546, 728) = 2 x 2 x 2 x 3 x 7 x 13 x 17 = 37128.