Least Common Multiple of 480/89, 715/1309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/89, 715/1309 quickly i.e. 68640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/89, 715/1309 is 68640.

LCM(480/89, 715/1309) = 68640

LCM of 480/89, 715/1309

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 480/89,715/1309

Given numbers are 480/89,715/1309

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 480,715

Least Common Multiple of Numerators i.e. LCM of 480,715 is 68640.

GCF of Denominators means GCF of 89,1309 as per the given fractions.

GCF of 89,1309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,715

LCM of Fractions 480/89,715/1309 is 68640

5 480, 715
96, 143

∴ So the LCM of the given numbers is 5 x 96 x 143 = 68640

Least Common Multiple of 480,715 with GCF Formula

Least Common Multiple of 480,715 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 480,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,715) = 5

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

GCF(480,715) x common factors =5 x 1 = 5

LCM(480,715) = ( 480 × 715 ) / 5

LCM(480,715) = 343200 / 5

LCM(480,715) = 68640


Lets's calculate GCF of 89,1309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68640/1

Therefore the LCM of Fractions 480/89,715/1309 is 68640

Greatest Common Factor of 89,1309 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,1309 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 1309

List of positive integer factors of 1309 that divides 1309 without a remainder.

1,7,11,17,77,119,187,1309

Greatest Common Factor

We found the factors 89,1309 . The biggest common factor number is the GCF number.
So the greatest common factor 89,1309 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 480/89, 715/1309

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 480/89, 715/1309?

Answer: LCM of Numerators as per given numbers 480/89, 715/1309 is

LCM of Numerators i.e. for 480,715 is 68640

GCF of denominators i.e. for 89,1309 is 1.

Thus, LCM of Fractions is 68640.Finally, LCM of Fractions for 480/89, 715/1309 is 68640.