Least Common Multiple of 735, 315, 206

Q: How to Find the LCM of 735, 315, 206 ?

Least Common Multiple of 735, 315, 206 = 454230 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(735, 315, 206) = 2 x 3 x 3 x 5 x 7 x 7 x 103 = 454230.

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 735, 315, 206 i.e. 454230 smallest integer divisible by all numbers.

Least common multiple (LCM) of 735, 315, 206 is 454230.

LCM(735, 315, 206) = 454230

LCM of 735, 315, 206

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

Least Common Multiple of 735, 315, 206 by common division method
Least Common Multiple of 735, 315, 206 with GCF Formula

Least Common Multiple of 735,315,206

Least Common Multiple (LCM) of 735,315,206 is 454230

3	735, 315, 206
5	245, 105, 206
7	49, 21, 206
	7, 3, 206

∴ So the LCM of the given numbers is 3 x 5 x 7 x 7 x 3 x 206 = 454230

Least Common Multiple of 735,315,206 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 735,315,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,315,206) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(735,315,206) x common factors =1 x 105 = 105

LCM(735,315,206) = ( 735 × 315 × 206 ) / 105

LCM(735,315,206) = 47694150 / 105

LCM(735,315,206) = 454230

∴ Least Common Multiple of 735,315,206 is 454230

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 735, 315, 206

1. What is the LCM of 735, 315, 206?

Answer: LCM of 735, 315, 206 is 454230.

2. What are the Factors of 454230?

Answer: Factors of 454230 are . There are integers that are factors of 454230

3. How to Find the LCM of 735, 315, 206 ?

Least Common Multiple of 735, 315, 206.

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(735, 315, 206) = 2 x 3 x 3 x 5 x 7 x 7 x 103 = 454230.