Least Common Multiple of 52/12, 768/92, 241/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/12, 768/92, 241/983 quickly i.e. 2406144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/12, 768/92, 241/983 is 2406144.

LCM(52/12, 768/92, 241/983) = 2406144

LCM of 52/12, 768/92, 241/983

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 52/12,768/92,241/983

Given numbers are 52/12,768/92,241/983

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 52,768,241

Least Common Multiple of Numerators i.e. LCM of 52,768,241 is 2406144.

GCF of Denominators means GCF of 12,92,983 as per the given fractions.

GCF of 12,92,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,768,241

LCM of Fractions 52/12,768/92,241/983 is 2406144

2 52, 768, 241
2 26, 384, 241
13, 192, 241

∴ So the LCM of the given numbers is 2 x 2 x 13 x 192 x 241 = 2406144

Least Common Multiple of 52,768,241 with GCF Formula

Least Common Multiple of 52,768,241 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 52,768,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,768,241) = 1

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

GCF(52,768,241) x common factors =1 x 4 = 4

LCM(52,768,241) = ( 52 × 768 × 241 ) / 4

LCM(52,768,241) = 9624576 / 4

LCM(52,768,241) = 2406144


Lets's calculate GCF of 12,92,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2406144/1

Therefore the LCM of Fractions 52/12,768/92,241/983 is 2406144

Greatest Common Factor of 12,92,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,92,983 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 12,92,983 . The biggest common factor number is the GCF number.
So the greatest common factor 12,92,983 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 52/12, 768/92, 241/983

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 52/12, 768/92, 241/983?

Answer: LCM of Numerators as per given numbers 52/12, 768/92, 241/983 is

LCM of Numerators i.e. for 52,768,241 is 2406144

GCF of denominators i.e. for 12,92,983 is 1.

Thus, LCM of Fractions is 2406144.Finally, LCM of Fractions for 52/12, 768/92, 241/983 is 2406144.