Least Common Multiple of 45/715, 6494/4155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/715, 6494/4155 quickly i.e. 58446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/715, 6494/4155 is 58446.

LCM(45/715, 6494/4155) = 58446

LCM of 45/715, 6494/4155

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 45/715,6494/4155

Given numbers are 45/715,6494/4155

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 45,6494

Least Common Multiple of Numerators i.e. LCM of 45,6494 is 292230.

GCF of Denominators means GCF of 715,4155 as per the given fractions.

GCF of 715,4155 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,6494

LCM of Fractions 45/715,6494/4155 is 58446

Given numbers has no common factors except 1. So, there LCM is their product i.e 292230

Least Common Multiple of 45,6494 with GCF Formula

Least Common Multiple of 45,6494 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 45,6494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,6494) = 1

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

GCF(45,6494) x common factors =1 x 1 = 1

LCM(45,6494) = ( 45 × 6494 ) / 1

LCM(45,6494) = 292230 / 1

LCM(45,6494) = 292230


Lets's calculate GCF of 715,4155

5 715, 4155
143, 831

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292230/5

Therefore the LCM of Fractions 45/715,6494/4155 is 58446

Greatest Common Factor of 715,4155 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,4155 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 4155

List of positive integer factors of 4155 that divides 4155 without a remainder.

1,3,5,15,277,831,1385,4155

Greatest Common Factor

We found the factors 715,4155 . The biggest common factor number is the GCF number.
So the greatest common factor 715,4155 is 5.


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 45/715, 6494/4155

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 45/715, 6494/4155?

Answer: LCM of Numerators as per given numbers 45/715, 6494/4155 is

LCM of Numerators i.e. for 45,6494 is 292230

GCF of denominators i.e. for 715,4155 is 5.

Thus, LCM of Fractions is 58446.Finally, LCM of Fractions for 45/715, 6494/4155 is 58446.