Least Common Multiple of 57/269, 331/382, 620/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/269, 331/382, 620/458 quickly i.e. 11697540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/269, 331/382, 620/458 is 11697540.

LCM(57/269, 331/382, 620/458) = 11697540

LCM of 57/269, 331/382, 620/458

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 57/269,331/382,620/458

Given numbers are 57/269,331/382,620/458

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 57,331,620

Least Common Multiple of Numerators i.e. LCM of 57,331,620 is 11697540.

GCF of Denominators means GCF of 269,382,458 as per the given fractions.

GCF of 269,382,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,331,620

LCM of Fractions 57/269,331/382,620/458 is 11697540

Given numbers has no common factors except 1. So, there LCM is their product i.e 11697540

Least Common Multiple of 57,331,620 with GCF Formula

Least Common Multiple of 57,331,620 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 57,331,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,331,620) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(57,331,620) x common factors =1 x 1 = 1

LCM(57,331,620) = ( 57 × 331 × 620 ) / 1

LCM(57,331,620) = 11697540 / 1

LCM(57,331,620) = 11697540


Lets's calculate GCF of 269,382,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11697540/1

Therefore the LCM of Fractions 57/269,331/382,620/458 is 11697540

Greatest Common Factor of 269,382,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,382,458 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 269,382,458 . The biggest common factor number is the GCF number.
So the greatest common factor 269,382,458 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 57/269, 331/382, 620/458

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 57/269, 331/382, 620/458?

Answer: LCM of Numerators as per given numbers 57/269, 331/382, 620/458 is

LCM of Numerators i.e. for 57,331,620 is 11697540

GCF of denominators i.e. for 269,382,458 is 1.

Thus, LCM of Fractions is 11697540.Finally, LCM of Fractions for 57/269, 331/382, 620/458 is 11697540.