Least Common Multiple of 8531/34, 7338/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8531/34, 7338/180 quickly i.e. 31300239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8531/34, 7338/180 is 31300239.

LCM(8531/34, 7338/180) = 31300239

LCM of 8531/34, 7338/180

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 8531/34,7338/180

Given numbers are 8531/34,7338/180

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 8531,7338

Least Common Multiple of Numerators i.e. LCM of 8531,7338 is 62600478.

GCF of Denominators means GCF of 34,180 as per the given fractions.

GCF of 34,180 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8531,7338

LCM of Fractions 8531/34,7338/180 is 31300239

Given numbers has no common factors except 1. So, there LCM is their product i.e 62600478

Least Common Multiple of 8531,7338 with GCF Formula

Least Common Multiple of 8531,7338 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 8531,7338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8531,7338) = 1

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

GCF(8531,7338) x common factors =1 x 1 = 1

LCM(8531,7338) = ( 8531 × 7338 ) / 1

LCM(8531,7338) = 62600478 / 1

LCM(8531,7338) = 62600478


Lets's calculate GCF of 34,180

2 34, 180
17, 90

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62600478/2

Therefore the LCM of Fractions 8531/34,7338/180 is 31300239

Greatest Common Factor of 34,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,180 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 34,180 . The biggest common factor number is the GCF number.
So the greatest common factor 34,180 is 2.


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 8531/34, 7338/180

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 8531/34, 7338/180?

Answer: LCM of Numerators as per given numbers 8531/34, 7338/180 is

LCM of Numerators i.e. for 8531,7338 is 62600478

GCF of denominators i.e. for 34,180 is 2.

Thus, LCM of Fractions is 31300239.Finally, LCM of Fractions for 8531/34, 7338/180 is 31300239.