Least Common Multiple of 74/36, 60/30, 61/76, 74/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/36, 60/30, 61/76, 74/935 quickly i.e. 135420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/36, 60/30, 61/76, 74/935 is 135420.

LCM(74/36, 60/30, 61/76, 74/935) = 135420

LCM of 74/36, 60/30, 61/76, 74/935

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 74/36,60/30,61/76,74/935

Given numbers are 74/36,60/30,61/76,74/935

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 74,60,61,74

Least Common Multiple of Numerators i.e. LCM of 74,60,61,74 is 135420.

GCF of Denominators means GCF of 36,30,76,935 as per the given fractions.

GCF of 36,30,76,935 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,60,61,74

LCM of Fractions 74/36,60/30,61/76,74/935 is 135420

2 74, 60, 61, 74
37 37, 30, 61, 37
1, 30, 61, 1

∴ So the LCM of the given numbers is 2 x 37 x 1 x 30 x 61 x 1 = 135420

Least Common Multiple of 74,60,61,74 with GCF Formula

Least Common Multiple of 74,60,61,74 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 74,60,61,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,60,61,74) = 1

common factors(in case of two or more numbers have common factors) = 148

GCF(74,60,61,74) x common factors =1 x 148 = 148

LCM(74,60,61,74) = ( 74 × 60 × 61 × 74 ) / 148

LCM(74,60,61,74) = 20042160 / 148

LCM(74,60,61,74) = 135420


Lets's calculate GCF of 36,30,76,935

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 135420/1

Therefore the LCM of Fractions 74/36,60/30,61/76,74/935 is 135420

Greatest Common Factor of 36,30,76,935 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,30,76,935 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 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Greatest Common Factor

We found the factors 36,30,76,935 . The biggest common factor number is the GCF number.
So the greatest common factor 36,30,76,935 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 74/36, 60/30, 61/76, 74/935

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 74/36, 60/30, 61/76, 74/935?

Answer: LCM of Numerators as per given numbers 74/36, 60/30, 61/76, 74/935 is

LCM of Numerators i.e. for 74,60,61,74 is 135420

GCF of denominators i.e. for 36,30,76,935 is 1.

Thus, LCM of Fractions is 135420.Finally, LCM of Fractions for 74/36, 60/30, 61/76, 74/935 is 135420.