Least Common Multiple of 972/688, 266/393, 435/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/688, 266/393, 435/330 quickly i.e. 18745020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/688, 266/393, 435/330 is 18745020.

LCM(972/688, 266/393, 435/330) = 18745020

LCM of 972/688, 266/393, 435/330

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 972/688,266/393,435/330

Given numbers are 972/688,266/393,435/330

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 972,266,435

Least Common Multiple of Numerators i.e. LCM of 972,266,435 is 18745020.

GCF of Denominators means GCF of 688,393,330 as per the given fractions.

GCF of 688,393,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,266,435

LCM of Fractions 972/688,266/393,435/330 is 18745020

2 972, 266, 435
3 486, 133, 435
162, 133, 145

∴ So the LCM of the given numbers is 2 x 3 x 162 x 133 x 145 = 18745020

Least Common Multiple of 972,266,435 with GCF Formula

Least Common Multiple of 972,266,435 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 972,266,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,266,435) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(972,266,435) x common factors =1 x 6 = 6

LCM(972,266,435) = ( 972 × 266 × 435 ) / 6

LCM(972,266,435) = 112470120 / 6

LCM(972,266,435) = 18745020


Lets's calculate GCF of 688,393,330

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18745020/1

Therefore the LCM of Fractions 972/688,266/393,435/330 is 18745020

Greatest Common Factor of 688,393,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,393,330 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 393

List of positive integer factors of 393 that divides 393 without a remainder.

1,3,131,393

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 688,393,330 . The biggest common factor number is the GCF number.
So the greatest common factor 688,393,330 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 972/688, 266/393, 435/330

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 972/688, 266/393, 435/330?

Answer: LCM of Numerators as per given numbers 972/688, 266/393, 435/330 is

LCM of Numerators i.e. for 972,266,435 is 18745020

GCF of denominators i.e. for 688,393,330 is 1.

Thus, LCM of Fractions is 18745020.Finally, LCM of Fractions for 972/688, 266/393, 435/330 is 18745020.