Least Common Multiple of 9069/48, 6133/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9069/48, 6133/879 quickly i.e. 18540059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9069/48, 6133/879 is 18540059.

LCM(9069/48, 6133/879) = 18540059

LCM of 9069/48, 6133/879

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 9069/48,6133/879

Given numbers are 9069/48,6133/879

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 9069,6133

Least Common Multiple of Numerators i.e. LCM of 9069,6133 is 55620177.

GCF of Denominators means GCF of 48,879 as per the given fractions.

GCF of 48,879 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9069,6133

LCM of Fractions 9069/48,6133/879 is 18540059

Given numbers has no common factors except 1. So, there LCM is their product i.e 55620177

Least Common Multiple of 9069,6133 with GCF Formula

Least Common Multiple of 9069,6133 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 9069,6133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9069,6133) = 1

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

GCF(9069,6133) x common factors =1 x 1 = 1

LCM(9069,6133) = ( 9069 × 6133 ) / 1

LCM(9069,6133) = 55620177 / 1

LCM(9069,6133) = 55620177


Lets's calculate GCF of 48,879

3 48, 879
16, 293

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55620177/3

Therefore the LCM of Fractions 9069/48,6133/879 is 18540059

Greatest Common Factor of 48,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,879 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 48,879 . The biggest common factor number is the GCF number.
So the greatest common factor 48,879 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9069/48, 6133/879

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 9069/48, 6133/879?

Answer: LCM of Numerators as per given numbers 9069/48, 6133/879 is

LCM of Numerators i.e. for 9069,6133 is 55620177

GCF of denominators i.e. for 48,879 is 3.

Thus, LCM of Fractions is 18540059.Finally, LCM of Fractions for 9069/48, 6133/879 is 18540059.