Least Common Multiple of 724/28, 315/2927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 724/28, 315/2927 quickly i.e. 228060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/28, 315/2927 is 228060.

LCM(724/28, 315/2927) = 228060

LCM of 724/28, 315/2927

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 724/28,315/2927

Given numbers are 724/28,315/2927

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 724,315

Least Common Multiple of Numerators i.e. LCM of 724,315 is 228060.

GCF of Denominators means GCF of 28,2927 as per the given fractions.

GCF of 28,2927 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,315

LCM of Fractions 724/28,315/2927 is 228060

Given numbers has no common factors except 1. So, there LCM is their product i.e 228060

Least Common Multiple of 724,315 with GCF Formula

Least Common Multiple of 724,315 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 724,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,315) = 1

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

GCF(724,315) x common factors =1 x 1 = 1

LCM(724,315) = ( 724 × 315 ) / 1

LCM(724,315) = 228060 / 1

LCM(724,315) = 228060


Lets's calculate GCF of 28,2927

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228060/1

Therefore the LCM of Fractions 724/28,315/2927 is 228060

Greatest Common Factor of 28,2927 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,2927 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 2927

List of positive integer factors of 2927 that divides 2927 without a remainder.

1,2927

Greatest Common Factor

We found the factors 28,2927 . The biggest common factor number is the GCF number.
So the greatest common factor 28,2927 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 724/28, 315/2927

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 724/28, 315/2927?

Answer: LCM of Numerators as per given numbers 724/28, 315/2927 is

LCM of Numerators i.e. for 724,315 is 228060

GCF of denominators i.e. for 28,2927 is 1.

Thus, LCM of Fractions is 228060.Finally, LCM of Fractions for 724/28, 315/2927 is 228060.