Least Common Multiple of 2648/723, 3510/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2648/723, 3510/285 quickly i.e. 1549080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2648/723, 3510/285 is 1549080.

LCM(2648/723, 3510/285) = 1549080

LCM of 2648/723, 3510/285

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 2648/723,3510/285

Given numbers are 2648/723,3510/285

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 2648,3510

Least Common Multiple of Numerators i.e. LCM of 2648,3510 is 4647240.

GCF of Denominators means GCF of 723,285 as per the given fractions.

GCF of 723,285 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2648,3510

LCM of Fractions 2648/723,3510/285 is 1549080

2 2648, 3510
1324, 1755

∴ So the LCM of the given numbers is 2 x 1324 x 1755 = 4647240

Least Common Multiple of 2648,3510 with GCF Formula

Least Common Multiple of 2648,3510 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 2648,3510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2648,3510) = 2

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

GCF(2648,3510) x common factors =2 x 1 = 2

LCM(2648,3510) = ( 2648 × 3510 ) / 2

LCM(2648,3510) = 9294480 / 2

LCM(2648,3510) = 4647240


Lets's calculate GCF of 723,285

3 723, 285
241, 95

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4647240/3

Therefore the LCM of Fractions 2648/723,3510/285 is 1549080

Greatest Common Factor of 723,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,285 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 723,285 . The biggest common factor number is the GCF number.
So the greatest common factor 723,285 is 3.


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 2648/723, 3510/285

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 2648/723, 3510/285?

Answer: LCM of Numerators as per given numbers 2648/723, 3510/285 is

LCM of Numerators i.e. for 2648,3510 is 4647240

GCF of denominators i.e. for 723,285 is 3.

Thus, LCM of Fractions is 1549080.Finally, LCM of Fractions for 2648/723, 3510/285 is 1549080.