Least Common Multiple of 747/35, 363/44, 242/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 747/35, 363/44, 242/712 quickly i.e. 180774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 747/35, 363/44, 242/712 is 180774.

LCM(747/35, 363/44, 242/712) = 180774

LCM of 747/35, 363/44, 242/712

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 747/35,363/44,242/712

Given numbers are 747/35,363/44,242/712

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 747,363,242

Least Common Multiple of Numerators i.e. LCM of 747,363,242 is 180774.

GCF of Denominators means GCF of 35,44,712 as per the given fractions.

GCF of 35,44,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 747,363,242

LCM of Fractions 747/35,363/44,242/712 is 180774

3 747, 363, 242
11 249, 121, 242
11 249, 11, 22
249, 1, 2

∴ So the LCM of the given numbers is 3 x 11 x 11 x 249 x 1 x 2 = 180774

Least Common Multiple of 747,363,242 with GCF Formula

Least Common Multiple of 747,363,242 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 747,363,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,363,242) = 1

common factors(in case of two or more numbers have common factors) = 363

GCF(747,363,242) x common factors =1 x 363 = 363

LCM(747,363,242) = ( 747 × 363 × 242 ) / 363

LCM(747,363,242) = 65620962 / 363

LCM(747,363,242) = 180774


Lets's calculate GCF of 35,44,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180774/1

Therefore the LCM of Fractions 747/35,363/44,242/712 is 180774

Greatest Common Factor of 35,44,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,44,712 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 35,44,712 . The biggest common factor number is the GCF number.
So the greatest common factor 35,44,712 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 747/35, 363/44, 242/712

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 747/35, 363/44, 242/712?

Answer: LCM of Numerators as per given numbers 747/35, 363/44, 242/712 is

LCM of Numerators i.e. for 747,363,242 is 180774

GCF of denominators i.e. for 35,44,712 is 1.

Thus, LCM of Fractions is 180774.Finally, LCM of Fractions for 747/35, 363/44, 242/712 is 180774.