Least Common Multiple of 7278/161, 7093/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7278/161, 7093/480 quickly i.e. 51622854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7278/161, 7093/480 is 51622854.

LCM(7278/161, 7093/480) = 51622854

LCM of 7278/161, 7093/480

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 7278/161,7093/480

Given numbers are 7278/161,7093/480

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 7278,7093

Least Common Multiple of Numerators i.e. LCM of 7278,7093 is 51622854.

GCF of Denominators means GCF of 161,480 as per the given fractions.

GCF of 161,480 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7278,7093

LCM of Fractions 7278/161,7093/480 is 51622854

Given numbers has no common factors except 1. So, there LCM is their product i.e 51622854

Least Common Multiple of 7278,7093 with GCF Formula

Least Common Multiple of 7278,7093 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 7278,7093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7278,7093) = 1

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

GCF(7278,7093) x common factors =1 x 1 = 1

LCM(7278,7093) = ( 7278 × 7093 ) / 1

LCM(7278,7093) = 51622854 / 1

LCM(7278,7093) = 51622854


Lets's calculate GCF of 161,480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51622854/1

Therefore the LCM of Fractions 7278/161,7093/480 is 51622854

Greatest Common Factor of 161,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 161,480 By Matching Biggest Common Factor Method

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 161,480 . The biggest common factor number is the GCF number.
So the greatest common factor 161,480 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 7278/161, 7093/480

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 7278/161, 7093/480?

Answer: LCM of Numerators as per given numbers 7278/161, 7093/480 is

LCM of Numerators i.e. for 7278,7093 is 51622854

GCF of denominators i.e. for 161,480 is 1.

Thus, LCM of Fractions is 51622854.Finally, LCM of Fractions for 7278/161, 7093/480 is 51622854.