Least Common Multiple of 4389/132, 1122/1029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4389/132, 1122/1029 quickly i.e. 49742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4389/132, 1122/1029 is 49742.

LCM(4389/132, 1122/1029) = 49742

LCM of 4389/132, 1122/1029

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 4389/132,1122/1029

Given numbers are 4389/132,1122/1029

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 4389,1122

Least Common Multiple of Numerators i.e. LCM of 4389,1122 is 149226.

GCF of Denominators means GCF of 132,1029 as per the given fractions.

GCF of 132,1029 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4389,1122

LCM of Fractions 4389/132,1122/1029 is 49742

3 4389, 1122
11 1463, 374
133, 34

∴ So the LCM of the given numbers is 3 x 11 x 133 x 34 = 149226

Least Common Multiple of 4389,1122 with GCF Formula

Least Common Multiple of 4389,1122 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 4389,1122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4389,1122) = 33

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

GCF(4389,1122) x common factors =33 x 1 = 33

LCM(4389,1122) = ( 4389 × 1122 ) / 33

LCM(4389,1122) = 4924458 / 33

LCM(4389,1122) = 149226


Lets's calculate GCF of 132,1029

3 132, 1029
44, 343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149226/3

Therefore the LCM of Fractions 4389/132,1122/1029 is 49742

Greatest Common Factor of 132,1029 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,1029 By Matching Biggest Common Factor Method

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 1029

List of positive integer factors of 1029 that divides 1029 without a remainder.

1,3,7,21,49,147,343,1029

Greatest Common Factor

We found the factors 132,1029 . The biggest common factor number is the GCF number.
So the greatest common factor 132,1029 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4389/132, 1122/1029

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 4389/132, 1122/1029?

Answer: LCM of Numerators as per given numbers 4389/132, 1122/1029 is

LCM of Numerators i.e. for 4389,1122 is 149226

GCF of denominators i.e. for 132,1029 is 3.

Thus, LCM of Fractions is 49742.Finally, LCM of Fractions for 4389/132, 1122/1029 is 49742.