Least Common Multiple of 60/82, 48/79, 74/72, 45/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/82, 48/79, 74/72, 45/379 quickly i.e. 26640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/82, 48/79, 74/72, 45/379 is 26640.

LCM(60/82, 48/79, 74/72, 45/379) = 26640

LCM of 60/82, 48/79, 74/72, 45/379

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 60/82,48/79,74/72,45/379

Given numbers are 60/82,48/79,74/72,45/379

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 60,48,74,45

Least Common Multiple of Numerators i.e. LCM of 60,48,74,45 is 26640.

GCF of Denominators means GCF of 82,79,72,379 as per the given fractions.

GCF of 82,79,72,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,48,74,45

LCM of Fractions 60/82,48/79,74/72,45/379 is 26640

2 60, 48, 74, 45
2 30, 24, 37, 45
3 15, 12, 37, 45
5 5, 4, 37, 15
1, 4, 37, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 4 x 37 x 3 = 26640

Least Common Multiple of 60,48,74,45 with GCF Formula

Least Common Multiple of 60,48,74,45 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 60,48,74,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,48,74,45) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(60,48,74,45) x common factors =1 x 360 = 360

LCM(60,48,74,45) = ( 60 × 48 × 74 × 45 ) / 360

LCM(60,48,74,45) = 9590400 / 360

LCM(60,48,74,45) = 26640


Lets's calculate GCF of 82,79,72,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26640/1

Therefore the LCM of Fractions 60/82,48/79,74/72,45/379 is 26640

Greatest Common Factor of 82,79,72,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,79,72,379 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

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 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 82,79,72,379 . The biggest common factor number is the GCF number.
So the greatest common factor 82,79,72,379 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 60/82, 48/79, 74/72, 45/379

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 60/82, 48/79, 74/72, 45/379?

Answer: LCM of Numerators as per given numbers 60/82, 48/79, 74/72, 45/379 is

LCM of Numerators i.e. for 60,48,74,45 is 26640

GCF of denominators i.e. for 82,79,72,379 is 1.

Thus, LCM of Fractions is 26640.Finally, LCM of Fractions for 60/82, 48/79, 74/72, 45/379 is 26640.