Least Common Multiple of 48/65, 90/94, 38/97, 76/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/65, 90/94, 38/97, 76/168 quickly i.e. 13680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/65, 90/94, 38/97, 76/168 is 13680.

LCM(48/65, 90/94, 38/97, 76/168) = 13680

LCM of 48/65, 90/94, 38/97, 76/168

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 48/65,90/94,38/97,76/168

Given numbers are 48/65,90/94,38/97,76/168

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 48,90,38,76

Least Common Multiple of Numerators i.e. LCM of 48,90,38,76 is 13680.

GCF of Denominators means GCF of 65,94,97,168 as per the given fractions.

GCF of 65,94,97,168 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,90,38,76

LCM of Fractions 48/65,90/94,38/97,76/168 is 13680

2 48, 90, 38, 76
2 24, 45, 19, 38
3 12, 45, 19, 19
19 4, 15, 19, 19
4, 15, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 4 x 15 x 1 x 1 = 13680

Least Common Multiple of 48,90,38,76 with GCF Formula

Least Common Multiple of 48,90,38,76 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 48,90,38,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,90,38,76) = 2

common factors(in case of two or more numbers have common factors) = 456

GCF(48,90,38,76) x common factors =2 x 456 = 912

LCM(48,90,38,76) = ( 48 × 90 × 38 × 76 ) / 912

LCM(48,90,38,76) = 12476160 / 912

LCM(48,90,38,76) = 13680


Lets's calculate GCF of 65,94,97,168

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13680/1

Therefore the LCM of Fractions 48/65,90/94,38/97,76/168 is 13680

Greatest Common Factor of 65,94,97,168 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,94,97,168 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 97

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

1,97

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 65,94,97,168 . The biggest common factor number is the GCF number.
So the greatest common factor 65,94,97,168 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 48/65, 90/94, 38/97, 76/168

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 48/65, 90/94, 38/97, 76/168?

Answer: LCM of Numerators as per given numbers 48/65, 90/94, 38/97, 76/168 is

LCM of Numerators i.e. for 48,90,38,76 is 13680

GCF of denominators i.e. for 65,94,97,168 is 1.

Thus, LCM of Fractions is 13680.Finally, LCM of Fractions for 48/65, 90/94, 38/97, 76/168 is 13680.