Least Common Multiple of 8575/742, 4341/2604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8575/742, 4341/2604 quickly i.e. 37224075/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8575/742, 4341/2604 is 37224075/14.

LCM(8575/742, 4341/2604) = 37224075/14

LCM of 8575/742, 4341/2604

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 8575/742,4341/2604

Given numbers are 8575/742,4341/2604

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 8575,4341

Least Common Multiple of Numerators i.e. LCM of 8575,4341 is 37224075.

GCF of Denominators means GCF of 742,2604 as per the given fractions.

GCF of 742,2604 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8575,4341

LCM of Fractions 8575/742,4341/2604 is 37224075/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 37224075

Least Common Multiple of 8575,4341 with GCF Formula

Least Common Multiple of 8575,4341 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 8575,4341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8575,4341) = 1

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

GCF(8575,4341) x common factors =1 x 1 = 1

LCM(8575,4341) = ( 8575 × 4341 ) / 1

LCM(8575,4341) = 37224075 / 1

LCM(8575,4341) = 37224075


Lets's calculate GCF of 742,2604

2 742, 2604
7 371, 1302
53, 186

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37224075/14

Therefore the LCM of Fractions 8575/742,4341/2604 is 37224075/14

Greatest Common Factor of 742,2604 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,2604 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 2604

List of positive integer factors of 2604 that divides 2604 without a remainder.

1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604

Greatest Common Factor

We found the factors 742,2604 . The biggest common factor number is the GCF number.
So the greatest common factor 742,2604 is 14.


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 8575/742, 4341/2604

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 8575/742, 4341/2604?

Answer: LCM of Numerators as per given numbers 8575/742, 4341/2604 is

LCM of Numerators i.e. for 8575,4341 is 37224075

GCF of denominators i.e. for 742,2604 is 14.

Thus, LCM of Fractions is 37224075/14.Finally, LCM of Fractions for 8575/742, 4341/2604 is 37224075/14.