Least Common Multiple of 752/68, 508/66, 943/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/68, 508/66, 943/278 quickly i.e. 45030136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/68, 508/66, 943/278 is 45030136.

LCM(752/68, 508/66, 943/278) = 45030136

LCM of 752/68, 508/66, 943/278

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 752/68,508/66,943/278

Given numbers are 752/68,508/66,943/278

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 752,508,943

Least Common Multiple of Numerators i.e. LCM of 752,508,943 is 90060272.

GCF of Denominators means GCF of 68,66,278 as per the given fractions.

GCF of 68,66,278 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,508,943

LCM of Fractions 752/68,508/66,943/278 is 45030136

2 752, 508, 943
2 376, 254, 943
188, 127, 943

∴ So the LCM of the given numbers is 2 x 2 x 188 x 127 x 943 = 90060272

Least Common Multiple of 752,508,943 with GCF Formula

Least Common Multiple of 752,508,943 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 752,508,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,508,943) = 1

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

GCF(752,508,943) x common factors =1 x 4 = 4

LCM(752,508,943) = ( 752 × 508 × 943 ) / 4

LCM(752,508,943) = 360241088 / 4

LCM(752,508,943) = 90060272


Lets's calculate GCF of 68,66,278

2 68, 66, 278
34, 33, 139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90060272/2

Therefore the LCM of Fractions 752/68,508/66,943/278 is 45030136

Greatest Common Factor of 68,66,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,66,278 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 68,66,278 . The biggest common factor number is the GCF number.
So the greatest common factor 68,66,278 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 752/68, 508/66, 943/278

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 752/68, 508/66, 943/278?

Answer: LCM of Numerators as per given numbers 752/68, 508/66, 943/278 is

LCM of Numerators i.e. for 752,508,943 is 90060272

GCF of denominators i.e. for 68,66,278 is 2.

Thus, LCM of Fractions is 45030136.Finally, LCM of Fractions for 752/68, 508/66, 943/278 is 45030136.