Least Common Multiple of 2460/609, 9749/1479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2460/609, 9749/1479 quickly i.e. 23982540/87 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2460/609, 9749/1479 is 23982540/87.

LCM(2460/609, 9749/1479) = 23982540/87

LCM of 2460/609, 9749/1479

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 2460/609,9749/1479

Given numbers are 2460/609,9749/1479

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 2460,9749

Least Common Multiple of Numerators i.e. LCM of 2460,9749 is 23982540.

GCF of Denominators means GCF of 609,1479 as per the given fractions.

GCF of 609,1479 is 87 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2460,9749

LCM of Fractions 2460/609,9749/1479 is 23982540/87

Given numbers has no common factors except 1. So, there LCM is their product i.e 23982540

Least Common Multiple of 2460,9749 with GCF Formula

Least Common Multiple of 2460,9749 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 2460,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2460,9749) = 1

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

GCF(2460,9749) x common factors =1 x 1 = 1

LCM(2460,9749) = ( 2460 × 9749 ) / 1

LCM(2460,9749) = 23982540 / 1

LCM(2460,9749) = 23982540


Lets's calculate GCF of 609,1479

3 609, 1479
29 203, 493
7, 17

∴ So the GCF of the given numbers is 3 x 29 = 87

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23982540/87

Therefore the LCM of Fractions 2460/609,9749/1479 is 23982540/87

Greatest Common Factor of 609,1479 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,1479 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 1479

List of positive integer factors of 1479 that divides 1479 without a remainder.

1,3,17,29,51,87,493,1479

Greatest Common Factor

We found the factors 609,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 609,1479 is 87.


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 2460/609, 9749/1479

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 2460/609, 9749/1479?

Answer: LCM of Numerators as per given numbers 2460/609, 9749/1479 is

LCM of Numerators i.e. for 2460,9749 is 23982540

GCF of denominators i.e. for 609,1479 is 87.

Thus, LCM of Fractions is 23982540/87.Finally, LCM of Fractions for 2460/609, 9749/1479 is 23982540/87.