Least Common Multiple of 2784/574, 7597/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2784/574, 7597/138 quickly i.e. 10575024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2784/574, 7597/138 is 10575024.

LCM(2784/574, 7597/138) = 10575024

LCM of 2784/574, 7597/138

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 2784/574,7597/138

Given numbers are 2784/574,7597/138

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 2784,7597

Least Common Multiple of Numerators i.e. LCM of 2784,7597 is 21150048.

GCF of Denominators means GCF of 574,138 as per the given fractions.

GCF of 574,138 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2784,7597

LCM of Fractions 2784/574,7597/138 is 10575024

Given numbers has no common factors except 1. So, there LCM is their product i.e 21150048

Least Common Multiple of 2784,7597 with GCF Formula

Least Common Multiple of 2784,7597 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 2784,7597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2784,7597) = 1

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

GCF(2784,7597) x common factors =1 x 1 = 1

LCM(2784,7597) = ( 2784 × 7597 ) / 1

LCM(2784,7597) = 21150048 / 1

LCM(2784,7597) = 21150048


Lets's calculate GCF of 574,138

2 574, 138
287, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21150048/2

Therefore the LCM of Fractions 2784/574,7597/138 is 10575024

Greatest Common Factor of 574,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 574,138 By Matching Biggest Common Factor Method

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 574,138 . The biggest common factor number is the GCF number.
So the greatest common factor 574,138 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 2784/574, 7597/138

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 2784/574, 7597/138?

Answer: LCM of Numerators as per given numbers 2784/574, 7597/138 is

LCM of Numerators i.e. for 2784,7597 is 21150048

GCF of denominators i.e. for 574,138 is 2.

Thus, LCM of Fractions is 10575024.Finally, LCM of Fractions for 2784/574, 7597/138 is 10575024.