Least Common Multiple of 6375/584, 3342/9106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6375/584, 3342/9106 quickly i.e. 3550875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6375/584, 3342/9106 is 3550875.

LCM(6375/584, 3342/9106) = 3550875

LCM of 6375/584, 3342/9106

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 6375/584,3342/9106

Given numbers are 6375/584,3342/9106

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 6375,3342

Least Common Multiple of Numerators i.e. LCM of 6375,3342 is 7101750.

GCF of Denominators means GCF of 584,9106 as per the given fractions.

GCF of 584,9106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6375,3342

LCM of Fractions 6375/584,3342/9106 is 3550875

3 6375, 3342
2125, 1114

∴ So the LCM of the given numbers is 3 x 2125 x 1114 = 7101750

Least Common Multiple of 6375,3342 with GCF Formula

Least Common Multiple of 6375,3342 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 6375,3342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6375,3342) = 3

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

GCF(6375,3342) x common factors =3 x 1 = 3

LCM(6375,3342) = ( 6375 × 3342 ) / 3

LCM(6375,3342) = 21305250 / 3

LCM(6375,3342) = 7101750


Lets's calculate GCF of 584,9106

2 584, 9106
292, 4553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7101750/2

Therefore the LCM of Fractions 6375/584,3342/9106 is 3550875

Greatest Common Factor of 584,9106 By Matching Biggest Common Factor Method

Greatest Common Factor of 584,9106 By Matching Biggest Common Factor Method

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Factors of 9106

List of positive integer factors of 9106 that divides 9106 without a remainder.

1,2,29,58,157,314,4553,9106

Greatest Common Factor

We found the factors 584,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 584,9106 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 6375/584, 3342/9106

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 6375/584, 3342/9106?

Answer: LCM of Numerators as per given numbers 6375/584, 3342/9106 is

LCM of Numerators i.e. for 6375,3342 is 7101750

GCF of denominators i.e. for 584,9106 is 2.

Thus, LCM of Fractions is 3550875.Finally, LCM of Fractions for 6375/584, 3342/9106 is 3550875.