Least Common Multiple of 7956/747, 8796/1986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7956/747, 8796/1986 quickly i.e. 1943916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7956/747, 8796/1986 is 1943916.

LCM(7956/747, 8796/1986) = 1943916

LCM of 7956/747, 8796/1986

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 7956/747,8796/1986

Given numbers are 7956/747,8796/1986

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 7956,8796

Least Common Multiple of Numerators i.e. LCM of 7956,8796 is 5831748.

GCF of Denominators means GCF of 747,1986 as per the given fractions.

GCF of 747,1986 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7956,8796

LCM of Fractions 7956/747,8796/1986 is 1943916

2 7956, 8796
2 3978, 4398
3 1989, 2199
663, 733

∴ So the LCM of the given numbers is 2 x 2 x 3 x 663 x 733 = 5831748

Least Common Multiple of 7956,8796 with GCF Formula

Least Common Multiple of 7956,8796 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 7956,8796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7956,8796) = 12

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

GCF(7956,8796) x common factors =12 x 1 = 12

LCM(7956,8796) = ( 7956 × 8796 ) / 12

LCM(7956,8796) = 69980976 / 12

LCM(7956,8796) = 5831748


Lets's calculate GCF of 747,1986

3 747, 1986
249, 662

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5831748/3

Therefore the LCM of Fractions 7956/747,8796/1986 is 1943916

Greatest Common Factor of 747,1986 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,1986 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 1986

List of positive integer factors of 1986 that divides 1986 without a remainder.

1,2,3,6,331,662,993,1986

Greatest Common Factor

We found the factors 747,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 747,1986 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 7956/747, 8796/1986

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 7956/747, 8796/1986?

Answer: LCM of Numerators as per given numbers 7956/747, 8796/1986 is

LCM of Numerators i.e. for 7956,8796 is 5831748

GCF of denominators i.e. for 747,1986 is 3.

Thus, LCM of Fractions is 1943916.Finally, LCM of Fractions for 7956/747, 8796/1986 is 1943916.