Least Common Multiple of 3093/47, 9164/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3093/47, 9164/564 quickly i.e. 28344252/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3093/47, 9164/564 is 28344252/47.

LCM(3093/47, 9164/564) = 28344252/47

LCM of 3093/47, 9164/564

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 3093/47,9164/564

Given numbers are 3093/47,9164/564

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 3093,9164

Least Common Multiple of Numerators i.e. LCM of 3093,9164 is 28344252.

GCF of Denominators means GCF of 47,564 as per the given fractions.

GCF of 47,564 is 47 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3093,9164

LCM of Fractions 3093/47,9164/564 is 28344252/47

Given numbers has no common factors except 1. So, there LCM is their product i.e 28344252

Least Common Multiple of 3093,9164 with GCF Formula

Least Common Multiple of 3093,9164 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 3093,9164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3093,9164) = 1

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

GCF(3093,9164) x common factors =1 x 1 = 1

LCM(3093,9164) = ( 3093 × 9164 ) / 1

LCM(3093,9164) = 28344252 / 1

LCM(3093,9164) = 28344252


Lets's calculate GCF of 47,564

47 47, 564
1, 12

∴ So the GCF of the given numbers is 47 = 47

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28344252/47

Therefore the LCM of Fractions 3093/47,9164/564 is 28344252/47

Greatest Common Factor of 47,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,564 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 47,564 . The biggest common factor number is the GCF number.
So the greatest common factor 47,564 is 47.


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 3093/47, 9164/564

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 3093/47, 9164/564?

Answer: LCM of Numerators as per given numbers 3093/47, 9164/564 is

LCM of Numerators i.e. for 3093,9164 is 28344252

GCF of denominators i.e. for 47,564 is 47.

Thus, LCM of Fractions is 28344252/47.Finally, LCM of Fractions for 3093/47, 9164/564 is 28344252/47.