Least Common Multiple of 546/760, 593/621, 117/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/760, 593/621, 117/253 quickly i.e. 971334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/760, 593/621, 117/253 is 971334.

LCM(546/760, 593/621, 117/253) = 971334

LCM of 546/760, 593/621, 117/253

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 546/760,593/621,117/253

Given numbers are 546/760,593/621,117/253

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 546,593,117

Least Common Multiple of Numerators i.e. LCM of 546,593,117 is 971334.

GCF of Denominators means GCF of 760,621,253 as per the given fractions.

GCF of 760,621,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,593,117

LCM of Fractions 546/760,593/621,117/253 is 971334

3 546, 593, 117
13 182, 593, 39
14, 593, 3

∴ So the LCM of the given numbers is 3 x 13 x 14 x 593 x 3 = 971334

Least Common Multiple of 546,593,117 with GCF Formula

Least Common Multiple of 546,593,117 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 546,593,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,593,117) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(546,593,117) x common factors =1 x 39 = 39

LCM(546,593,117) = ( 546 × 593 × 117 ) / 39

LCM(546,593,117) = 37882026 / 39

LCM(546,593,117) = 971334


Lets's calculate GCF of 760,621,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 971334/1

Therefore the LCM of Fractions 546/760,593/621,117/253 is 971334

Greatest Common Factor of 760,621,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,621,253 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 760,621,253 . The biggest common factor number is the GCF number.
So the greatest common factor 760,621,253 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 546/760, 593/621, 117/253

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 546/760, 593/621, 117/253?

Answer: LCM of Numerators as per given numbers 546/760, 593/621, 117/253 is

LCM of Numerators i.e. for 546,593,117 is 971334

GCF of denominators i.e. for 760,621,253 is 1.

Thus, LCM of Fractions is 971334.Finally, LCM of Fractions for 546/760, 593/621, 117/253 is 971334.