Least Common Multiple of 4524/84, 1107/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4524/84, 1107/326 quickly i.e. 834678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4524/84, 1107/326 is 834678.

LCM(4524/84, 1107/326) = 834678

LCM of 4524/84, 1107/326

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 4524/84,1107/326

Given numbers are 4524/84,1107/326

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 4524,1107

Least Common Multiple of Numerators i.e. LCM of 4524,1107 is 1669356.

GCF of Denominators means GCF of 84,326 as per the given fractions.

GCF of 84,326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4524,1107

LCM of Fractions 4524/84,1107/326 is 834678

3 4524, 1107
1508, 369

∴ So the LCM of the given numbers is 3 x 1508 x 369 = 1669356

Least Common Multiple of 4524,1107 with GCF Formula

Least Common Multiple of 4524,1107 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 4524,1107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4524,1107) = 3

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

GCF(4524,1107) x common factors =3 x 1 = 3

LCM(4524,1107) = ( 4524 × 1107 ) / 3

LCM(4524,1107) = 5008068 / 3

LCM(4524,1107) = 1669356


Lets's calculate GCF of 84,326

2 84, 326
42, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1669356/2

Therefore the LCM of Fractions 4524/84,1107/326 is 834678

Greatest Common Factor of 84,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,326 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 84,326 . The biggest common factor number is the GCF number.
So the greatest common factor 84,326 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 4524/84, 1107/326

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 4524/84, 1107/326?

Answer: LCM of Numerators as per given numbers 4524/84, 1107/326 is

LCM of Numerators i.e. for 4524,1107 is 1669356

GCF of denominators i.e. for 84,326 is 2.

Thus, LCM of Fractions is 834678.Finally, LCM of Fractions for 4524/84, 1107/326 is 834678.