Least Common Multiple of 7660/960, 3974/3771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7660/960, 3974/3771 quickly i.e. 15220420/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7660/960, 3974/3771 is 15220420/3.

LCM(7660/960, 3974/3771) = 15220420/3

LCM of 7660/960, 3974/3771

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 7660/960,3974/3771

Given numbers are 7660/960,3974/3771

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 7660,3974

Least Common Multiple of Numerators i.e. LCM of 7660,3974 is 15220420.

GCF of Denominators means GCF of 960,3771 as per the given fractions.

GCF of 960,3771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7660,3974

LCM of Fractions 7660/960,3974/3771 is 15220420/3

2 7660, 3974
3830, 1987

∴ So the LCM of the given numbers is 2 x 3830 x 1987 = 15220420

Least Common Multiple of 7660,3974 with GCF Formula

Least Common Multiple of 7660,3974 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 7660,3974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7660,3974) = 2

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

GCF(7660,3974) x common factors =2 x 1 = 2

LCM(7660,3974) = ( 7660 × 3974 ) / 2

LCM(7660,3974) = 30440840 / 2

LCM(7660,3974) = 15220420


Lets's calculate GCF of 960,3771

3 960, 3771
320, 1257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15220420/3

Therefore the LCM of Fractions 7660/960,3974/3771 is 15220420/3

Greatest Common Factor of 960,3771 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,3771 By Matching Biggest Common Factor Method

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 3771

List of positive integer factors of 3771 that divides 3771 without a remainder.

1,3,9,419,1257,3771

Greatest Common Factor

We found the factors 960,3771 . The biggest common factor number is the GCF number.
So the greatest common factor 960,3771 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 7660/960, 3974/3771

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 7660/960, 3974/3771?

Answer: LCM of Numerators as per given numbers 7660/960, 3974/3771 is

LCM of Numerators i.e. for 7660,3974 is 15220420

GCF of denominators i.e. for 960,3771 is 3.

Thus, LCM of Fractions is 15220420/3.Finally, LCM of Fractions for 7660/960, 3974/3771 is 15220420/3.