Least Common Multiple of 724/78, 705/7687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/78, 705/7687 quickly i.e. 510420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/78, 705/7687 is 510420.

LCM(724/78, 705/7687) = 510420

LCM of 724/78, 705/7687

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 724/78,705/7687

Given numbers are 724/78,705/7687

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 724,705

Least Common Multiple of Numerators i.e. LCM of 724,705 is 510420.

GCF of Denominators means GCF of 78,7687 as per the given fractions.

GCF of 78,7687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,705

LCM of Fractions 724/78,705/7687 is 510420

Given numbers has no common factors except 1. So, there LCM is their product i.e 510420

Least Common Multiple of 724,705 with GCF Formula

Least Common Multiple of 724,705 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 724,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,705) = 1

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

GCF(724,705) x common factors =1 x 1 = 1

LCM(724,705) = ( 724 × 705 ) / 1

LCM(724,705) = 510420 / 1

LCM(724,705) = 510420


Lets's calculate GCF of 78,7687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510420/1

Therefore the LCM of Fractions 724/78,705/7687 is 510420

Greatest Common Factor of 78,7687 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,7687 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 7687

List of positive integer factors of 7687 that divides 7687 without a remainder.

1,7687

Greatest Common Factor

We found the factors 78,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 78,7687 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 724/78, 705/7687

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 724/78, 705/7687?

Answer: LCM of Numerators as per given numbers 724/78, 705/7687 is

LCM of Numerators i.e. for 724,705 is 510420

GCF of denominators i.e. for 78,7687 is 1.

Thus, LCM of Fractions is 510420.Finally, LCM of Fractions for 724/78, 705/7687 is 510420.