Least Common Multiple of 517/582, 735/947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 517/582, 735/947 quickly i.e. 379995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 517/582, 735/947 is 379995.

LCM(517/582, 735/947) = 379995

LCM of 517/582, 735/947

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 517/582,735/947

Given numbers are 517/582,735/947

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 517,735

Least Common Multiple of Numerators i.e. LCM of 517,735 is 379995.

GCF of Denominators means GCF of 582,947 as per the given fractions.

GCF of 582,947 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 517,735

LCM of Fractions 517/582,735/947 is 379995

Given numbers has no common factors except 1. So, there LCM is their product i.e 379995

Least Common Multiple of 517,735 with GCF Formula

Least Common Multiple of 517,735 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 517,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,735) = 1

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

GCF(517,735) x common factors =1 x 1 = 1

LCM(517,735) = ( 517 × 735 ) / 1

LCM(517,735) = 379995 / 1

LCM(517,735) = 379995


Lets's calculate GCF of 582,947

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379995/1

Therefore the LCM of Fractions 517/582,735/947 is 379995

Greatest Common Factor of 582,947 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,947 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Greatest Common Factor

We found the factors 582,947 . The biggest common factor number is the GCF number.
So the greatest common factor 582,947 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 517/582, 735/947

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 517/582, 735/947?

Answer: LCM of Numerators as per given numbers 517/582, 735/947 is

LCM of Numerators i.e. for 517,735 is 379995

GCF of denominators i.e. for 582,947 is 1.

Thus, LCM of Fractions is 379995.Finally, LCM of Fractions for 517/582, 735/947 is 379995.