Least Common Multiple of 272/460, 9627/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/460, 9627/705 quickly i.e. 2618544/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/460, 9627/705 is 2618544/5.

LCM(272/460, 9627/705) = 2618544/5

LCM of 272/460, 9627/705

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 272/460,9627/705

Given numbers are 272/460,9627/705

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 272,9627

Least Common Multiple of Numerators i.e. LCM of 272,9627 is 2618544.

GCF of Denominators means GCF of 460,705 as per the given fractions.

GCF of 460,705 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,9627

LCM of Fractions 272/460,9627/705 is 2618544/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 2618544

Least Common Multiple of 272,9627 with GCF Formula

Least Common Multiple of 272,9627 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 272,9627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,9627) = 1

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

GCF(272,9627) x common factors =1 x 1 = 1

LCM(272,9627) = ( 272 × 9627 ) / 1

LCM(272,9627) = 2618544 / 1

LCM(272,9627) = 2618544


Lets's calculate GCF of 460,705

5 460, 705
92, 141

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2618544/5

Therefore the LCM of Fractions 272/460,9627/705 is 2618544/5

Greatest Common Factor of 460,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,705 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 460,705 . The biggest common factor number is the GCF number.
So the greatest common factor 460,705 is 5.


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 272/460, 9627/705

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 272/460, 9627/705?

Answer: LCM of Numerators as per given numbers 272/460, 9627/705 is

LCM of Numerators i.e. for 272,9627 is 2618544

GCF of denominators i.e. for 460,705 is 5.

Thus, LCM of Fractions is 2618544/5.Finally, LCM of Fractions for 272/460, 9627/705 is 2618544/5.