Least Common Multiple of 7152/380, 9133/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7152/380, 9133/169 quickly i.e. 65319216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7152/380, 9133/169 is 65319216.

LCM(7152/380, 9133/169) = 65319216

LCM of 7152/380, 9133/169

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 7152/380,9133/169

Given numbers are 7152/380,9133/169

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 7152,9133

Least Common Multiple of Numerators i.e. LCM of 7152,9133 is 65319216.

GCF of Denominators means GCF of 380,169 as per the given fractions.

GCF of 380,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7152,9133

LCM of Fractions 7152/380,9133/169 is 65319216

Given numbers has no common factors except 1. So, there LCM is their product i.e 65319216

Least Common Multiple of 7152,9133 with GCF Formula

Least Common Multiple of 7152,9133 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 7152,9133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7152,9133) = 1

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

GCF(7152,9133) x common factors =1 x 1 = 1

LCM(7152,9133) = ( 7152 × 9133 ) / 1

LCM(7152,9133) = 65319216 / 1

LCM(7152,9133) = 65319216


Lets's calculate GCF of 380,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65319216/1

Therefore the LCM of Fractions 7152/380,9133/169 is 65319216

Greatest Common Factor of 380,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,169 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 380,169 . The biggest common factor number is the GCF number.
So the greatest common factor 380,169 is 1.


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 7152/380, 9133/169

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 7152/380, 9133/169?

Answer: LCM of Numerators as per given numbers 7152/380, 9133/169 is

LCM of Numerators i.e. for 7152,9133 is 65319216

GCF of denominators i.e. for 380,169 is 1.

Thus, LCM of Fractions is 65319216.Finally, LCM of Fractions for 7152/380, 9133/169 is 65319216.