Least Common Multiple of 478/513, 517/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 478/513, 517/158 quickly i.e. 247126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/513, 517/158 is 247126.

LCM(478/513, 517/158) = 247126

LCM of 478/513, 517/158

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 478/513,517/158

Given numbers are 478/513,517/158

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 478,517

Least Common Multiple of Numerators i.e. LCM of 478,517 is 247126.

GCF of Denominators means GCF of 513,158 as per the given fractions.

GCF of 513,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,517

LCM of Fractions 478/513,517/158 is 247126

Given numbers has no common factors except 1. So, there LCM is their product i.e 247126

Least Common Multiple of 478,517 with GCF Formula

Least Common Multiple of 478,517 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 478,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,517) = 1

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

GCF(478,517) x common factors =1 x 1 = 1

LCM(478,517) = ( 478 × 517 ) / 1

LCM(478,517) = 247126 / 1

LCM(478,517) = 247126


Lets's calculate GCF of 513,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 247126/1

Therefore the LCM of Fractions 478/513,517/158 is 247126

Greatest Common Factor of 513,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,158 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 513,158 . The biggest common factor number is the GCF number.
So the greatest common factor 513,158 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 478/513, 517/158

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 478/513, 517/158?

Answer: LCM of Numerators as per given numbers 478/513, 517/158 is

LCM of Numerators i.e. for 478,517 is 247126

GCF of denominators i.e. for 513,158 is 1.

Thus, LCM of Fractions is 247126.Finally, LCM of Fractions for 478/513, 517/158 is 247126.