Least Common Multiple of 62/978, 3740/2642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/978, 3740/2642 quickly i.e. 57970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/978, 3740/2642 is 57970.

LCM(62/978, 3740/2642) = 57970

LCM of 62/978, 3740/2642

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 62/978,3740/2642

Given numbers are 62/978,3740/2642

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 62,3740

Least Common Multiple of Numerators i.e. LCM of 62,3740 is 115940.

GCF of Denominators means GCF of 978,2642 as per the given fractions.

GCF of 978,2642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,3740

LCM of Fractions 62/978,3740/2642 is 57970

2 62, 3740
31, 1870

∴ So the LCM of the given numbers is 2 x 31 x 1870 = 115940

Least Common Multiple of 62,3740 with GCF Formula

Least Common Multiple of 62,3740 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 62,3740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,3740) = 2

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

GCF(62,3740) x common factors =2 x 1 = 2

LCM(62,3740) = ( 62 × 3740 ) / 2

LCM(62,3740) = 231880 / 2

LCM(62,3740) = 115940


Lets's calculate GCF of 978,2642

2 978, 2642
489, 1321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115940/2

Therefore the LCM of Fractions 62/978,3740/2642 is 57970

Greatest Common Factor of 978,2642 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,2642 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 2642

List of positive integer factors of 2642 that divides 2642 without a remainder.

1,2,1321,2642

Greatest Common Factor

We found the factors 978,2642 . The biggest common factor number is the GCF number.
So the greatest common factor 978,2642 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 62/978, 3740/2642

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 62/978, 3740/2642?

Answer: LCM of Numerators as per given numbers 62/978, 3740/2642 is

LCM of Numerators i.e. for 62,3740 is 115940

GCF of denominators i.e. for 978,2642 is 2.

Thus, LCM of Fractions is 57970.Finally, LCM of Fractions for 62/978, 3740/2642 is 57970.