Least Common Multiple of 47/52, 99/37, 99/62, 78/617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/52, 99/37, 99/62, 78/617 quickly i.e. 120978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/52, 99/37, 99/62, 78/617 is 120978.

LCM(47/52, 99/37, 99/62, 78/617) = 120978

LCM of 47/52, 99/37, 99/62, 78/617

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 47/52,99/37,99/62,78/617

Given numbers are 47/52,99/37,99/62,78/617

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 47,99,99,78

Least Common Multiple of Numerators i.e. LCM of 47,99,99,78 is 120978.

GCF of Denominators means GCF of 52,37,62,617 as per the given fractions.

GCF of 52,37,62,617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,99,99,78

LCM of Fractions 47/52,99/37,99/62,78/617 is 120978

3 47, 99, 99, 78
3 47, 33, 33, 26
11 47, 11, 11, 26
47, 1, 1, 26

∴ So the LCM of the given numbers is 3 x 3 x 11 x 47 x 1 x 1 x 26 = 120978

Least Common Multiple of 47,99,99,78 with GCF Formula

Least Common Multiple of 47,99,99,78 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 47,99,99,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,99,99,78) = 1

common factors(in case of two or more numbers have common factors) = 297

GCF(47,99,99,78) x common factors =1 x 297 = 297

LCM(47,99,99,78) = ( 47 × 99 × 99 × 78 ) / 297

LCM(47,99,99,78) = 35930466 / 297

LCM(47,99,99,78) = 120978


Lets's calculate GCF of 52,37,62,617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120978/1

Therefore the LCM of Fractions 47/52,99/37,99/62,78/617 is 120978

Greatest Common Factor of 52,37,62,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,37,62,617 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 37

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

1,37

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors 52,37,62,617 . The biggest common factor number is the GCF number.
So the greatest common factor 52,37,62,617 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 47/52, 99/37, 99/62, 78/617

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 47/52, 99/37, 99/62, 78/617?

Answer: LCM of Numerators as per given numbers 47/52, 99/37, 99/62, 78/617 is

LCM of Numerators i.e. for 47,99,99,78 is 120978

GCF of denominators i.e. for 52,37,62,617 is 1.

Thus, LCM of Fractions is 120978.Finally, LCM of Fractions for 47/52, 99/37, 99/62, 78/617 is 120978.