Least Common Multiple of 51/548, 5725/7382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/548, 5725/7382 quickly i.e. 291975/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/548, 5725/7382 is 291975/2.

LCM(51/548, 5725/7382) = 291975/2

LCM of 51/548, 5725/7382

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 51/548,5725/7382

Given numbers are 51/548,5725/7382

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 51,5725

Least Common Multiple of Numerators i.e. LCM of 51,5725 is 291975.

GCF of Denominators means GCF of 548,7382 as per the given fractions.

GCF of 548,7382 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,5725

LCM of Fractions 51/548,5725/7382 is 291975/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 291975

Least Common Multiple of 51,5725 with GCF Formula

Least Common Multiple of 51,5725 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 51,5725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,5725) = 1

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

GCF(51,5725) x common factors =1 x 1 = 1

LCM(51,5725) = ( 51 × 5725 ) / 1

LCM(51,5725) = 291975 / 1

LCM(51,5725) = 291975


Lets's calculate GCF of 548,7382

2 548, 7382
274, 3691

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 291975/2

Therefore the LCM of Fractions 51/548,5725/7382 is 291975/2

Greatest Common Factor of 548,7382 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,7382 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Greatest Common Factor

We found the factors 548,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 548,7382 is 2.


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 51/548, 5725/7382

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 51/548, 5725/7382?

Answer: LCM of Numerators as per given numbers 51/548, 5725/7382 is

LCM of Numerators i.e. for 51,5725 is 291975

GCF of denominators i.e. for 548,7382 is 2.

Thus, LCM of Fractions is 291975/2.Finally, LCM of Fractions for 51/548, 5725/7382 is 291975/2.