Least Common Multiple of 23/268, 52/643, 119/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/268, 52/643, 119/382 quickly i.e. 142324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/268, 52/643, 119/382 is 142324.

LCM(23/268, 52/643, 119/382) = 142324

LCM of 23/268, 52/643, 119/382

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 23/268,52/643,119/382

Given numbers are 23/268,52/643,119/382

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 23,52,119

Least Common Multiple of Numerators i.e. LCM of 23,52,119 is 142324.

GCF of Denominators means GCF of 268,643,382 as per the given fractions.

GCF of 268,643,382 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,52,119

LCM of Fractions 23/268,52/643,119/382 is 142324

Given numbers has no common factors except 1. So, there LCM is their product i.e 142324

Least Common Multiple of 23,52,119 with GCF Formula

Least Common Multiple of 23,52,119 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 23,52,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,52,119) = 1

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

GCF(23,52,119) x common factors =1 x 1 = 1

LCM(23,52,119) = ( 23 × 52 × 119 ) / 1

LCM(23,52,119) = 142324 / 1

LCM(23,52,119) = 142324


Lets's calculate GCF of 268,643,382

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142324/1

Therefore the LCM of Fractions 23/268,52/643,119/382 is 142324

Greatest Common Factor of 268,643,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,643,382 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 382

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

1,2,191,382

Greatest Common Factor

We found the factors 268,643,382 . The biggest common factor number is the GCF number.
So the greatest common factor 268,643,382 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 23/268, 52/643, 119/382

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 23/268, 52/643, 119/382?

Answer: LCM of Numerators as per given numbers 23/268, 52/643, 119/382 is

LCM of Numerators i.e. for 23,52,119 is 142324

GCF of denominators i.e. for 268,643,382 is 1.

Thus, LCM of Fractions is 142324.Finally, LCM of Fractions for 23/268, 52/643, 119/382 is 142324.