Least Common Multiple of 978/37, 252/3032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/37, 252/3032 quickly i.e. 41076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/37, 252/3032 is 41076.

LCM(978/37, 252/3032) = 41076

LCM of 978/37, 252/3032

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 978/37,252/3032

Given numbers are 978/37,252/3032

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 978,252

Least Common Multiple of Numerators i.e. LCM of 978,252 is 41076.

GCF of Denominators means GCF of 37,3032 as per the given fractions.

GCF of 37,3032 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,252

LCM of Fractions 978/37,252/3032 is 41076

2 978, 252
3 489, 126
163, 42

∴ So the LCM of the given numbers is 2 x 3 x 163 x 42 = 41076

Least Common Multiple of 978,252 with GCF Formula

Least Common Multiple of 978,252 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 978,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,252) = 6

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

GCF(978,252) x common factors =6 x 1 = 6

LCM(978,252) = ( 978 × 252 ) / 6

LCM(978,252) = 246456 / 6

LCM(978,252) = 41076


Lets's calculate GCF of 37,3032

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41076/1

Therefore the LCM of Fractions 978/37,252/3032 is 41076

Greatest Common Factor of 37,3032 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,3032 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 3032

List of positive integer factors of 3032 that divides 3032 without a remainder.

1,2,4,8,379,758,1516,3032

Greatest Common Factor

We found the factors 37,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 37,3032 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 978/37, 252/3032

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 978/37, 252/3032?

Answer: LCM of Numerators as per given numbers 978/37, 252/3032 is

LCM of Numerators i.e. for 978,252 is 41076

GCF of denominators i.e. for 37,3032 is 1.

Thus, LCM of Fractions is 41076.Finally, LCM of Fractions for 978/37, 252/3032 is 41076.