Least Common Multiple of 9180/969, 3724/8703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9180/969, 3724/8703 quickly i.e. 2848860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9180/969, 3724/8703 is 2848860.

LCM(9180/969, 3724/8703) = 2848860

LCM of 9180/969, 3724/8703

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 9180/969,3724/8703

Given numbers are 9180/969,3724/8703

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 9180,3724

Least Common Multiple of Numerators i.e. LCM of 9180,3724 is 8546580.

GCF of Denominators means GCF of 969,8703 as per the given fractions.

GCF of 969,8703 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9180,3724

LCM of Fractions 9180/969,3724/8703 is 2848860

2 9180, 3724
2 4590, 1862
2295, 931

∴ So the LCM of the given numbers is 2 x 2 x 2295 x 931 = 8546580

Least Common Multiple of 9180,3724 with GCF Formula

Least Common Multiple of 9180,3724 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 9180,3724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9180,3724) = 4

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

GCF(9180,3724) x common factors =4 x 1 = 4

LCM(9180,3724) = ( 9180 × 3724 ) / 4

LCM(9180,3724) = 34186320 / 4

LCM(9180,3724) = 8546580


Lets's calculate GCF of 969,8703

3 969, 8703
323, 2901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8546580/3

Therefore the LCM of Fractions 9180/969,3724/8703 is 2848860

Greatest Common Factor of 969,8703 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,8703 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 8703

List of positive integer factors of 8703 that divides 8703 without a remainder.

1,3,9,967,2901,8703

Greatest Common Factor

We found the factors 969,8703 . The biggest common factor number is the GCF number.
So the greatest common factor 969,8703 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 9180/969, 3724/8703

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 9180/969, 3724/8703?

Answer: LCM of Numerators as per given numbers 9180/969, 3724/8703 is

LCM of Numerators i.e. for 9180,3724 is 8546580

GCF of denominators i.e. for 969,8703 is 3.

Thus, LCM of Fractions is 2848860.Finally, LCM of Fractions for 9180/969, 3724/8703 is 2848860.