Least Common Multiple of 294, 210, 30

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 294, 210, 30 i.e. 1470 smallest integer divisible by all numbers.

Least common multiple (LCM) of 294, 210, 30 is 1470.

LCM(294, 210, 30) = 1470

LCM of 294, 210, 30

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

LCM of:

Least Common Multiple of 294,210,30

Least Common Multiple (LCM) of 294,210,30 is 1470

2 294, 210, 30
3 147, 105, 15
5 49, 35, 5
7 49, 7, 1
1, 7, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 1 x 7 x 1 = 1470

Least Common Multiple of 294,210,30 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 294,210,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,210,30) = 6

common factors(in case of two or more numbers have common factors) = 210

GCF(294,210,30) x common factors =6 x 210 = 1260

LCM(294,210,30) = ( 294 × 210 × 30 ) / 1260

LCM(294,210,30) = 1852200 / 1260

LCM(294,210,30) = 1470

∴ Least Common Multiple of 294,210,30 is 1470

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 294, 210, 30

1. What is the LCM of 294, 210, 30?

Answer: LCM of 294, 210, 30 is 1470.

2. What are the Factors of 1470?

Answer: Factors of 1470 are . There are integers that are factors of 1470

3. How to Find the LCM of 294, 210, 30 ?

Least Common Multiple of 294, 210, 30.

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(294, 210, 30) = 2 x 3 x 5 x 7 x 7 = 1470.