Least Common Multiple of 410/271, 7514/7971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/271, 7514/7971 quickly i.e. 1540370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/271, 7514/7971 is 1540370.

LCM(410/271, 7514/7971) = 1540370

LCM of 410/271, 7514/7971

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 410/271,7514/7971

Given numbers are 410/271,7514/7971

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 410,7514

Least Common Multiple of Numerators i.e. LCM of 410,7514 is 1540370.

GCF of Denominators means GCF of 271,7971 as per the given fractions.

GCF of 271,7971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,7514

LCM of Fractions 410/271,7514/7971 is 1540370

2 410, 7514
205, 3757

∴ So the LCM of the given numbers is 2 x 205 x 3757 = 1540370

Least Common Multiple of 410,7514 with GCF Formula

Least Common Multiple of 410,7514 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 410,7514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,7514) = 2

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

GCF(410,7514) x common factors =2 x 1 = 2

LCM(410,7514) = ( 410 × 7514 ) / 2

LCM(410,7514) = 3080740 / 2

LCM(410,7514) = 1540370


Lets's calculate GCF of 271,7971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1540370/1

Therefore the LCM of Fractions 410/271,7514/7971 is 1540370

Greatest Common Factor of 271,7971 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,7971 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 7971

List of positive integer factors of 7971 that divides 7971 without a remainder.

1,3,2657,7971

Greatest Common Factor

We found the factors 271,7971 . The biggest common factor number is the GCF number.
So the greatest common factor 271,7971 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 410/271, 7514/7971

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 410/271, 7514/7971?

Answer: LCM of Numerators as per given numbers 410/271, 7514/7971 is

LCM of Numerators i.e. for 410,7514 is 1540370

GCF of denominators i.e. for 271,7971 is 1.

Thus, LCM of Fractions is 1540370.Finally, LCM of Fractions for 410/271, 7514/7971 is 1540370.