Least Common Multiple of 37/54, 45/76, 77/60, 92/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/54, 45/76, 77/60, 92/712 quickly i.e. 5897430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/54, 45/76, 77/60, 92/712 is 5897430.

LCM(37/54, 45/76, 77/60, 92/712) = 5897430

LCM of 37/54, 45/76, 77/60, 92/712

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 37/54,45/76,77/60,92/712

Given numbers are 37/54,45/76,77/60,92/712

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 37,45,77,92

Least Common Multiple of Numerators i.e. LCM of 37,45,77,92 is 11794860.

GCF of Denominators means GCF of 54,76,60,712 as per the given fractions.

GCF of 54,76,60,712 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,45,77,92

LCM of Fractions 37/54,45/76,77/60,92/712 is 5897430

Given numbers has no common factors except 1. So, there LCM is their product i.e 11794860

Least Common Multiple of 37,45,77,92 with GCF Formula

Least Common Multiple of 37,45,77,92 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 37,45,77,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,45,77,92) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(37,45,77,92) x common factors =1 x 1 = 1

LCM(37,45,77,92) = ( 37 × 45 × 77 × 92 ) / 1

LCM(37,45,77,92) = 11794860 / 1

LCM(37,45,77,92) = 11794860


Lets's calculate GCF of 54,76,60,712

2 54, 76, 60, 712
27, 38, 30, 356

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11794860/2

Therefore the LCM of Fractions 37/54,45/76,77/60,92/712 is 5897430

Greatest Common Factor of 54,76,60,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,76,60,712 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 76

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

1,2,4,19,38,76

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

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 54,76,60,712 . The biggest common factor number is the GCF number.
So the greatest common factor 54,76,60,712 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 37/54, 45/76, 77/60, 92/712

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 37/54, 45/76, 77/60, 92/712?

Answer: LCM of Numerators as per given numbers 37/54, 45/76, 77/60, 92/712 is

LCM of Numerators i.e. for 37,45,77,92 is 11794860

GCF of denominators i.e. for 54,76,60,712 is 2.

Thus, LCM of Fractions is 5897430.Finally, LCM of Fractions for 37/54, 45/76, 77/60, 92/712 is 5897430.