Least Common Multiple of 52/703, 30/225, 664/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/703, 30/225, 664/391 quickly i.e. 129480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/703, 30/225, 664/391 is 129480.

LCM(52/703, 30/225, 664/391) = 129480

LCM of 52/703, 30/225, 664/391

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 52/703,30/225,664/391

Given numbers are 52/703,30/225,664/391

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 52,30,664

Least Common Multiple of Numerators i.e. LCM of 52,30,664 is 129480.

GCF of Denominators means GCF of 703,225,391 as per the given fractions.

GCF of 703,225,391 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,30,664

LCM of Fractions 52/703,30/225,664/391 is 129480

2 52, 30, 664
2 26, 15, 332
13, 15, 166

∴ So the LCM of the given numbers is 2 x 2 x 13 x 15 x 166 = 129480

Least Common Multiple of 52,30,664 with GCF Formula

Least Common Multiple of 52,30,664 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 52,30,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,30,664) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(52,30,664) x common factors =2 x 4 = 8

LCM(52,30,664) = ( 52 × 30 × 664 ) / 8

LCM(52,30,664) = 1035840 / 8

LCM(52,30,664) = 129480


Lets's calculate GCF of 703,225,391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129480/1

Therefore the LCM of Fractions 52/703,30/225,664/391 is 129480

Greatest Common Factor of 703,225,391 By Matching Biggest Common Factor Method

Greatest Common Factor of 703,225,391 By Matching Biggest Common Factor Method

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Greatest Common Factor

We found the factors 703,225,391 . The biggest common factor number is the GCF number.
So the greatest common factor 703,225,391 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 52/703, 30/225, 664/391

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 52/703, 30/225, 664/391?

Answer: LCM of Numerators as per given numbers 52/703, 30/225, 664/391 is

LCM of Numerators i.e. for 52,30,664 is 129480

GCF of denominators i.e. for 703,225,391 is 1.

Thus, LCM of Fractions is 129480.Finally, LCM of Fractions for 52/703, 30/225, 664/391 is 129480.