Least Common Multiple of 14/411, 2961/7740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/411, 2961/7740 quickly i.e. 1974 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/411, 2961/7740 is 1974.

LCM(14/411, 2961/7740) = 1974

LCM of 14/411, 2961/7740

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 14/411,2961/7740

Given numbers are 14/411,2961/7740

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 14,2961

Least Common Multiple of Numerators i.e. LCM of 14,2961 is 5922.

GCF of Denominators means GCF of 411,7740 as per the given fractions.

GCF of 411,7740 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,2961

LCM of Fractions 14/411,2961/7740 is 1974

7 14, 2961
2, 423

∴ So the LCM of the given numbers is 7 x 2 x 423 = 5922

Least Common Multiple of 14,2961 with GCF Formula

Least Common Multiple of 14,2961 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 14,2961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,2961) = 7

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

GCF(14,2961) x common factors =7 x 1 = 7

LCM(14,2961) = ( 14 × 2961 ) / 7

LCM(14,2961) = 41454 / 7

LCM(14,2961) = 5922


Lets's calculate GCF of 411,7740

3 411, 7740
137, 2580

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5922/3

Therefore the LCM of Fractions 14/411,2961/7740 is 1974

Greatest Common Factor of 411,7740 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,7740 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 7740

List of positive integer factors of 7740 that divides 7740 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,43,45,60,86,90,129,172,180,215,258,387,430,516,645,774,860,1290,1548,1935,2580,3870,7740

Greatest Common Factor

We found the factors 411,7740 . The biggest common factor number is the GCF number.
So the greatest common factor 411,7740 is 3.


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 14/411, 2961/7740

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 14/411, 2961/7740?

Answer: LCM of Numerators as per given numbers 14/411, 2961/7740 is

LCM of Numerators i.e. for 14,2961 is 5922

GCF of denominators i.e. for 411,7740 is 3.

Thus, LCM of Fractions is 1974.Finally, LCM of Fractions for 14/411, 2961/7740 is 1974.