Least Common Multiple of 2865/272, 4971/5770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2865/272, 4971/5770 quickly i.e. 4747305/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2865/272, 4971/5770 is 4747305/2.

LCM(2865/272, 4971/5770) = 4747305/2

LCM of 2865/272, 4971/5770

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 2865/272,4971/5770

Given numbers are 2865/272,4971/5770

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 2865,4971

Least Common Multiple of Numerators i.e. LCM of 2865,4971 is 4747305.

GCF of Denominators means GCF of 272,5770 as per the given fractions.

GCF of 272,5770 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2865,4971

LCM of Fractions 2865/272,4971/5770 is 4747305/2

3 2865, 4971
955, 1657

∴ So the LCM of the given numbers is 3 x 955 x 1657 = 4747305

Least Common Multiple of 2865,4971 with GCF Formula

Least Common Multiple of 2865,4971 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 2865,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2865,4971) = 3

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

GCF(2865,4971) x common factors =3 x 1 = 3

LCM(2865,4971) = ( 2865 × 4971 ) / 3

LCM(2865,4971) = 14241915 / 3

LCM(2865,4971) = 4747305


Lets's calculate GCF of 272,5770

2 272, 5770
136, 2885

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4747305/2

Therefore the LCM of Fractions 2865/272,4971/5770 is 4747305/2

Greatest Common Factor of 272,5770 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,5770 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 5770

List of positive integer factors of 5770 that divides 5770 without a remainder.

1,2,5,10,577,1154,2885,5770

Greatest Common Factor

We found the factors 272,5770 . The biggest common factor number is the GCF number.
So the greatest common factor 272,5770 is 2.


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 2865/272, 4971/5770

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 2865/272, 4971/5770?

Answer: LCM of Numerators as per given numbers 2865/272, 4971/5770 is

LCM of Numerators i.e. for 2865,4971 is 4747305

GCF of denominators i.e. for 272,5770 is 2.

Thus, LCM of Fractions is 4747305/2.Finally, LCM of Fractions for 2865/272, 4971/5770 is 4747305/2.