Least Common Multiple of 752/36, 286/97, 178/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 752/36, 286/97, 178/274 quickly i.e. 9570704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 752/36, 286/97, 178/274 is 9570704.

LCM(752/36, 286/97, 178/274) = 9570704

LCM of 752/36, 286/97, 178/274

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 752/36,286/97,178/274

Given numbers are 752/36,286/97,178/274

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 752,286,178

Least Common Multiple of Numerators i.e. LCM of 752,286,178 is 9570704.

GCF of Denominators means GCF of 36,97,274 as per the given fractions.

GCF of 36,97,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 752,286,178

LCM of Fractions 752/36,286/97,178/274 is 9570704

2 752, 286, 178
376, 143, 89

∴ So the LCM of the given numbers is 2 x 376 x 143 x 89 = 9570704

Least Common Multiple of 752,286,178 with GCF Formula

Least Common Multiple of 752,286,178 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 752,286,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,286,178) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(752,286,178) x common factors =2 x 2 = 4

LCM(752,286,178) = ( 752 × 286 × 178 ) / 4

LCM(752,286,178) = 38282816 / 4

LCM(752,286,178) = 9570704


Lets's calculate GCF of 36,97,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9570704/1

Therefore the LCM of Fractions 752/36,286/97,178/274 is 9570704

Greatest Common Factor of 36,97,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,97,274 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 36,97,274 . The biggest common factor number is the GCF number.
So the greatest common factor 36,97,274 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 752/36, 286/97, 178/274

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 752/36, 286/97, 178/274?

Answer: LCM of Numerators as per given numbers 752/36, 286/97, 178/274 is

LCM of Numerators i.e. for 752,286,178 is 9570704

GCF of denominators i.e. for 36,97,274 is 1.

Thus, LCM of Fractions is 9570704.Finally, LCM of Fractions for 752/36, 286/97, 178/274 is 9570704.