Least Common Multiple of 1977/635, 1946/1242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1977/635, 1946/1242 quickly i.e. 3847242 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1977/635, 1946/1242 is 3847242.

LCM(1977/635, 1946/1242) = 3847242

LCM of 1977/635, 1946/1242

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 1977/635,1946/1242

Given numbers are 1977/635,1946/1242

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 1977,1946

Least Common Multiple of Numerators i.e. LCM of 1977,1946 is 3847242.

GCF of Denominators means GCF of 635,1242 as per the given fractions.

GCF of 635,1242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1977,1946

LCM of Fractions 1977/635,1946/1242 is 3847242

Given numbers has no common factors except 1. So, there LCM is their product i.e 3847242

Least Common Multiple of 1977,1946 with GCF Formula

Least Common Multiple of 1977,1946 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 1977,1946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1977,1946) = 1

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

GCF(1977,1946) x common factors =1 x 1 = 1

LCM(1977,1946) = ( 1977 × 1946 ) / 1

LCM(1977,1946) = 3847242 / 1

LCM(1977,1946) = 3847242


Lets's calculate GCF of 635,1242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3847242/1

Therefore the LCM of Fractions 1977/635,1946/1242 is 3847242

Greatest Common Factor of 635,1242 By Matching Biggest Common Factor Method

Greatest Common Factor of 635,1242 By Matching Biggest Common Factor Method

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 1242

List of positive integer factors of 1242 that divides 1242 without a remainder.

1,2,3,6,9,18,23,27,46,54,69,138,207,414,621,1242

Greatest Common Factor

We found the factors 635,1242 . The biggest common factor number is the GCF number.
So the greatest common factor 635,1242 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 1977/635, 1946/1242

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 1977/635, 1946/1242?

Answer: LCM of Numerators as per given numbers 1977/635, 1946/1242 is

LCM of Numerators i.e. for 1977,1946 is 3847242

GCF of denominators i.e. for 635,1242 is 1.

Thus, LCM of Fractions is 3847242.Finally, LCM of Fractions for 1977/635, 1946/1242 is 3847242.