Least Common Multiple of 4458/595, 3484/7004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4458/595, 3484/7004 quickly i.e. 7765836/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4458/595, 3484/7004 is 7765836/17.

LCM(4458/595, 3484/7004) = 7765836/17

LCM of 4458/595, 3484/7004

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 4458/595,3484/7004

Given numbers are 4458/595,3484/7004

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 4458,3484

Least Common Multiple of Numerators i.e. LCM of 4458,3484 is 7765836.

GCF of Denominators means GCF of 595,7004 as per the given fractions.

GCF of 595,7004 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4458,3484

LCM of Fractions 4458/595,3484/7004 is 7765836/17

2 4458, 3484
2229, 1742

∴ So the LCM of the given numbers is 2 x 2229 x 1742 = 7765836

Least Common Multiple of 4458,3484 with GCF Formula

Least Common Multiple of 4458,3484 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 4458,3484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4458,3484) = 2

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

GCF(4458,3484) x common factors =2 x 1 = 2

LCM(4458,3484) = ( 4458 × 3484 ) / 2

LCM(4458,3484) = 15531672 / 2

LCM(4458,3484) = 7765836


Lets's calculate GCF of 595,7004

17 595, 7004
35, 412

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7765836/17

Therefore the LCM of Fractions 4458/595,3484/7004 is 7765836/17

Greatest Common Factor of 595,7004 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,7004 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1,2,4,17,34,68,103,206,412,1751,3502,7004

Greatest Common Factor

We found the factors 595,7004 . The biggest common factor number is the GCF number.
So the greatest common factor 595,7004 is 17.


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 4458/595, 3484/7004

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 4458/595, 3484/7004?

Answer: LCM of Numerators as per given numbers 4458/595, 3484/7004 is

LCM of Numerators i.e. for 4458,3484 is 7765836

GCF of denominators i.e. for 595,7004 is 17.

Thus, LCM of Fractions is 7765836/17.Finally, LCM of Fractions for 4458/595, 3484/7004 is 7765836/17.