Least Common Multiple of 238, 216, 735

Q: How to Find the LCM of 238, 216, 735 ?

Least Common Multiple of 238, 216, 735 = 899640 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, 216, 735) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 17 = 899640.

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, 216, 735 i.e. 899640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 238, 216, 735 is 899640.

LCM(238, 216, 735) = 899640

LCM of 238, 216, 735

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

Least Common Multiple of 238, 216, 735 by common division method
Least Common Multiple of 238, 216, 735 with GCF Formula

Least Common Multiple of 238,216,735

Least Common Multiple (LCM) of 238,216,735 is 899640

2	238, 216, 735
3	119, 108, 735
7	119, 36, 245
	17, 36, 35

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 36 x 35 = 899640

Least Common Multiple of 238,216,735 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 238,216,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,216,735) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(238,216,735) x common factors =1 x 42 = 42

LCM(238,216,735) = ( 238 × 216 × 735 ) / 42

LCM(238,216,735) = 37784880 / 42

LCM(238,216,735) = 899640

∴ Least Common Multiple of 238,216,735 is 899640

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, 216, 735

1. What is the LCM of 238, 216, 735?

Answer: LCM of 238, 216, 735 is 899640.

2. What are the Factors of 899640?

Answer: Factors of 899640 are . There are integers that are factors of 899640

3. How to Find the LCM of 238, 216, 735 ?

Least Common Multiple of 238, 216, 735.

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, 216, 735) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 17 = 899640.