Least Common Multiple of 30/292, 79/359, 548/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/292, 79/359, 548/725 quickly i.e. 649380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/292, 79/359, 548/725 is 649380.

LCM(30/292, 79/359, 548/725) = 649380

LCM of 30/292, 79/359, 548/725

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 30/292,79/359,548/725

Given numbers are 30/292,79/359,548/725

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 30,79,548

Least Common Multiple of Numerators i.e. LCM of 30,79,548 is 649380.

GCF of Denominators means GCF of 292,359,725 as per the given fractions.

GCF of 292,359,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,79,548

LCM of Fractions 30/292,79/359,548/725 is 649380

2 30, 79, 548
15, 79, 274

∴ So the LCM of the given numbers is 2 x 15 x 79 x 274 = 649380

Least Common Multiple of 30,79,548 with GCF Formula

Least Common Multiple of 30,79,548 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 30,79,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,79,548) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(30,79,548) x common factors =1 x 2 = 2

LCM(30,79,548) = ( 30 × 79 × 548 ) / 2

LCM(30,79,548) = 1298760 / 2

LCM(30,79,548) = 649380


Lets's calculate GCF of 292,359,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649380/1

Therefore the LCM of Fractions 30/292,79/359,548/725 is 649380

Greatest Common Factor of 292,359,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,359,725 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 292,359,725 . The biggest common factor number is the GCF number.
So the greatest common factor 292,359,725 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 30/292, 79/359, 548/725

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 30/292, 79/359, 548/725?

Answer: LCM of Numerators as per given numbers 30/292, 79/359, 548/725 is

LCM of Numerators i.e. for 30,79,548 is 649380

GCF of denominators i.e. for 292,359,725 is 1.

Thus, LCM of Fractions is 649380.Finally, LCM of Fractions for 30/292, 79/359, 548/725 is 649380.