Least Common Multiple of 2728/312, 3623/1345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2728/312, 3623/1345 quickly i.e. 9883544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2728/312, 3623/1345 is 9883544.

LCM(2728/312, 3623/1345) = 9883544

LCM of 2728/312, 3623/1345

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 2728/312,3623/1345

Given numbers are 2728/312,3623/1345

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 2728,3623

Least Common Multiple of Numerators i.e. LCM of 2728,3623 is 9883544.

GCF of Denominators means GCF of 312,1345 as per the given fractions.

GCF of 312,1345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2728,3623

LCM of Fractions 2728/312,3623/1345 is 9883544

Given numbers has no common factors except 1. So, there LCM is their product i.e 9883544

Least Common Multiple of 2728,3623 with GCF Formula

Least Common Multiple of 2728,3623 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 2728,3623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2728,3623) = 1

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

GCF(2728,3623) x common factors =1 x 1 = 1

LCM(2728,3623) = ( 2728 × 3623 ) / 1

LCM(2728,3623) = 9883544 / 1

LCM(2728,3623) = 9883544


Lets's calculate GCF of 312,1345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9883544/1

Therefore the LCM of Fractions 2728/312,3623/1345 is 9883544

Greatest Common Factor of 312,1345 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,1345 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 1345

List of positive integer factors of 1345 that divides 1345 without a remainder.

1,5,269,1345

Greatest Common Factor

We found the factors 312,1345 . The biggest common factor number is the GCF number.
So the greatest common factor 312,1345 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 2728/312, 3623/1345

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 2728/312, 3623/1345?

Answer: LCM of Numerators as per given numbers 2728/312, 3623/1345 is

LCM of Numerators i.e. for 2728,3623 is 9883544

GCF of denominators i.e. for 312,1345 is 1.

Thus, LCM of Fractions is 9883544.Finally, LCM of Fractions for 2728/312, 3623/1345 is 9883544.