Least Common Multiple of 62/37, 76/59, 78/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/37, 76/59, 78/561 quickly i.e. 91884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/37, 76/59, 78/561 is 91884.

LCM(62/37, 76/59, 78/561) = 91884

LCM of 62/37, 76/59, 78/561

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 62/37,76/59,78/561

Given numbers are 62/37,76/59,78/561

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 62,76,78

Least Common Multiple of Numerators i.e. LCM of 62,76,78 is 91884.

GCF of Denominators means GCF of 37,59,561 as per the given fractions.

GCF of 37,59,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,76,78

LCM of Fractions 62/37,76/59,78/561 is 91884

2 62, 76, 78
31, 38, 39

∴ So the LCM of the given numbers is 2 x 31 x 38 x 39 = 91884

Least Common Multiple of 62,76,78 with GCF Formula

Least Common Multiple of 62,76,78 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 62,76,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,76,78) = 2

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

GCF(62,76,78) x common factors =2 x 2 = 4

LCM(62,76,78) = ( 62 × 76 × 78 ) / 4

LCM(62,76,78) = 367536 / 4

LCM(62,76,78) = 91884


Lets's calculate GCF of 37,59,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91884/1

Therefore the LCM of Fractions 62/37,76/59,78/561 is 91884

Greatest Common Factor of 37,59,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,59,561 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 37,59,561 . The biggest common factor number is the GCF number.
So the greatest common factor 37,59,561 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 62/37, 76/59, 78/561

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 62/37, 76/59, 78/561?

Answer: LCM of Numerators as per given numbers 62/37, 76/59, 78/561 is

LCM of Numerators i.e. for 62,76,78 is 91884

GCF of denominators i.e. for 37,59,561 is 1.

Thus, LCM of Fractions is 91884.Finally, LCM of Fractions for 62/37, 76/59, 78/561 is 91884.