Least Common Multiple of 655/72, 540/2449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 655/72, 540/2449 quickly i.e. 70740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 655/72, 540/2449 is 70740.

LCM(655/72, 540/2449) = 70740

LCM of 655/72, 540/2449

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 655/72,540/2449

Given numbers are 655/72,540/2449

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 655,540

Least Common Multiple of Numerators i.e. LCM of 655,540 is 70740.

GCF of Denominators means GCF of 72,2449 as per the given fractions.

GCF of 72,2449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 655,540

LCM of Fractions 655/72,540/2449 is 70740

5 655, 540
131, 108

∴ So the LCM of the given numbers is 5 x 131 x 108 = 70740

Least Common Multiple of 655,540 with GCF Formula

Least Common Multiple of 655,540 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 655,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(655,540) = 5

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

GCF(655,540) x common factors =5 x 1 = 5

LCM(655,540) = ( 655 × 540 ) / 5

LCM(655,540) = 353700 / 5

LCM(655,540) = 70740


Lets's calculate GCF of 72,2449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70740/1

Therefore the LCM of Fractions 655/72,540/2449 is 70740

Greatest Common Factor of 72,2449 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,2449 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 2449

List of positive integer factors of 2449 that divides 2449 without a remainder.

1,31,79,2449

Greatest Common Factor

We found the factors 72,2449 . The biggest common factor number is the GCF number.
So the greatest common factor 72,2449 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 655/72, 540/2449

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 655/72, 540/2449?

Answer: LCM of Numerators as per given numbers 655/72, 540/2449 is

LCM of Numerators i.e. for 655,540 is 70740

GCF of denominators i.e. for 72,2449 is 1.

Thus, LCM of Fractions is 70740.Finally, LCM of Fractions for 655/72, 540/2449 is 70740.