Least Common Multiple of 503/78, 714/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 503/78, 714/865 quickly i.e. 359142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 503/78, 714/865 is 359142.

LCM(503/78, 714/865) = 359142

LCM of 503/78, 714/865

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 503/78,714/865

Given numbers are 503/78,714/865

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 503,714

Least Common Multiple of Numerators i.e. LCM of 503,714 is 359142.

GCF of Denominators means GCF of 78,865 as per the given fractions.

GCF of 78,865 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 503,714

LCM of Fractions 503/78,714/865 is 359142

Given numbers has no common factors except 1. So, there LCM is their product i.e 359142

Least Common Multiple of 503,714 with GCF Formula

Least Common Multiple of 503,714 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 503,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,714) = 1

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

GCF(503,714) x common factors =1 x 1 = 1

LCM(503,714) = ( 503 × 714 ) / 1

LCM(503,714) = 359142 / 1

LCM(503,714) = 359142


Lets's calculate GCF of 78,865

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359142/1

Therefore the LCM of Fractions 503/78,714/865 is 359142

Greatest Common Factor of 78,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,865 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 78,865 . The biggest common factor number is the GCF number.
So the greatest common factor 78,865 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 503/78, 714/865

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 503/78, 714/865?

Answer: LCM of Numerators as per given numbers 503/78, 714/865 is

LCM of Numerators i.e. for 503,714 is 359142

GCF of denominators i.e. for 78,865 is 1.

Thus, LCM of Fractions is 359142.Finally, LCM of Fractions for 503/78, 714/865 is 359142.