Least Common Multiple of 752/55, 218/7503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/55, 218/7503 quickly i.e. 81968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/55, 218/7503 is 81968.

LCM(752/55, 218/7503) = 81968

LCM of 752/55, 218/7503

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 752/55,218/7503

Given numbers are 752/55,218/7503

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 752,218

Least Common Multiple of Numerators i.e. LCM of 752,218 is 81968.

GCF of Denominators means GCF of 55,7503 as per the given fractions.

GCF of 55,7503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,218

LCM of Fractions 752/55,218/7503 is 81968

2 752, 218
376, 109

∴ So the LCM of the given numbers is 2 x 376 x 109 = 81968

Least Common Multiple of 752,218 with GCF Formula

Least Common Multiple of 752,218 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 752,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,218) = 2

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

GCF(752,218) x common factors =2 x 1 = 2

LCM(752,218) = ( 752 × 218 ) / 2

LCM(752,218) = 163936 / 2

LCM(752,218) = 81968


Lets's calculate GCF of 55,7503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81968/1

Therefore the LCM of Fractions 752/55,218/7503 is 81968

Greatest Common Factor of 55,7503 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,7503 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 7503

List of positive integer factors of 7503 that divides 7503 without a remainder.

1,3,41,61,123,183,2501,7503

Greatest Common Factor

We found the factors 55,7503 . The biggest common factor number is the GCF number.
So the greatest common factor 55,7503 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 752/55, 218/7503

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 752/55, 218/7503?

Answer: LCM of Numerators as per given numbers 752/55, 218/7503 is

LCM of Numerators i.e. for 752,218 is 81968

GCF of denominators i.e. for 55,7503 is 1.

Thus, LCM of Fractions is 81968.Finally, LCM of Fractions for 752/55, 218/7503 is 81968.