Least Common Multiple of 76/72, 338/92, 302/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/72, 338/92, 302/758 quickly i.e. 969722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/72, 338/92, 302/758 is 969722.

LCM(76/72, 338/92, 302/758) = 969722

LCM of 76/72, 338/92, 302/758

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 76/72,338/92,302/758

Given numbers are 76/72,338/92,302/758

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 76,338,302

Least Common Multiple of Numerators i.e. LCM of 76,338,302 is 1939444.

GCF of Denominators means GCF of 72,92,758 as per the given fractions.

GCF of 72,92,758 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,338,302

LCM of Fractions 76/72,338/92,302/758 is 969722

2 76, 338, 302
38, 169, 151

∴ So the LCM of the given numbers is 2 x 38 x 169 x 151 = 1939444

Least Common Multiple of 76,338,302 with GCF Formula

Least Common Multiple of 76,338,302 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 76,338,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,338,302) = 2

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

GCF(76,338,302) x common factors =2 x 2 = 4

LCM(76,338,302) = ( 76 × 338 × 302 ) / 4

LCM(76,338,302) = 7757776 / 4

LCM(76,338,302) = 1939444


Lets's calculate GCF of 72,92,758

2 72, 92, 758
36, 46, 379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1939444/2

Therefore the LCM of Fractions 76/72,338/92,302/758 is 969722

Greatest Common Factor of 72,92,758 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,92,758 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Greatest Common Factor

We found the factors 72,92,758 . The biggest common factor number is the GCF number.
So the greatest common factor 72,92,758 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 76/72, 338/92, 302/758

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 76/72, 338/92, 302/758?

Answer: LCM of Numerators as per given numbers 76/72, 338/92, 302/758 is

LCM of Numerators i.e. for 76,338,302 is 1939444

GCF of denominators i.e. for 72,92,758 is 2.

Thus, LCM of Fractions is 969722.Finally, LCM of Fractions for 76/72, 338/92, 302/758 is 969722.