Least Common Multiple of 9484/983, 4870/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9484/983, 4870/138 quickly i.e. 23093540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9484/983, 4870/138 is 23093540.

LCM(9484/983, 4870/138) = 23093540

LCM of 9484/983, 4870/138

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 9484/983,4870/138

Given numbers are 9484/983,4870/138

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 9484,4870

Least Common Multiple of Numerators i.e. LCM of 9484,4870 is 23093540.

GCF of Denominators means GCF of 983,138 as per the given fractions.

GCF of 983,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9484,4870

LCM of Fractions 9484/983,4870/138 is 23093540

2 9484, 4870
4742, 2435

∴ So the LCM of the given numbers is 2 x 4742 x 2435 = 23093540

Least Common Multiple of 9484,4870 with GCF Formula

Least Common Multiple of 9484,4870 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 9484,4870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9484,4870) = 2

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

GCF(9484,4870) x common factors =2 x 1 = 2

LCM(9484,4870) = ( 9484 × 4870 ) / 2

LCM(9484,4870) = 46187080 / 2

LCM(9484,4870) = 23093540


Lets's calculate GCF of 983,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23093540/1

Therefore the LCM of Fractions 9484/983,4870/138 is 23093540

Greatest Common Factor of 983,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 983,138 By Matching Biggest Common Factor Method

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 983,138 . The biggest common factor number is the GCF number.
So the greatest common factor 983,138 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9484/983, 4870/138

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 9484/983, 4870/138?

Answer: LCM of Numerators as per given numbers 9484/983, 4870/138 is

LCM of Numerators i.e. for 9484,4870 is 23093540

GCF of denominators i.e. for 983,138 is 1.

Thus, LCM of Fractions is 23093540.Finally, LCM of Fractions for 9484/983, 4870/138 is 23093540.