Least Common Multiple of 412/980, 252/109, 811/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/980, 252/109, 811/247 quickly i.e. 21050316 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/980, 252/109, 811/247 is 21050316.

LCM(412/980, 252/109, 811/247) = 21050316

LCM of 412/980, 252/109, 811/247

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 412/980,252/109,811/247

Given numbers are 412/980,252/109,811/247

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 412,252,811

Least Common Multiple of Numerators i.e. LCM of 412,252,811 is 21050316.

GCF of Denominators means GCF of 980,109,247 as per the given fractions.

GCF of 980,109,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,252,811

LCM of Fractions 412/980,252/109,811/247 is 21050316

2 412, 252, 811
2 206, 126, 811
103, 63, 811

∴ So the LCM of the given numbers is 2 x 2 x 103 x 63 x 811 = 21050316

Least Common Multiple of 412,252,811 with GCF Formula

Least Common Multiple of 412,252,811 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 412,252,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,252,811) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(412,252,811) x common factors =1 x 4 = 4

LCM(412,252,811) = ( 412 × 252 × 811 ) / 4

LCM(412,252,811) = 84201264 / 4

LCM(412,252,811) = 21050316


Lets's calculate GCF of 980,109,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21050316/1

Therefore the LCM of Fractions 412/980,252/109,811/247 is 21050316

Greatest Common Factor of 980,109,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,109,247 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 980,109,247 . The biggest common factor number is the GCF number.
So the greatest common factor 980,109,247 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 412/980, 252/109, 811/247

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 412/980, 252/109, 811/247?

Answer: LCM of Numerators as per given numbers 412/980, 252/109, 811/247 is

LCM of Numerators i.e. for 412,252,811 is 21050316

GCF of denominators i.e. for 980,109,247 is 1.

Thus, LCM of Fractions is 21050316.Finally, LCM of Fractions for 412/980, 252/109, 811/247 is 21050316.