Least Common Multiple of 3963/165, 5555/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3963/165, 5555/546 quickly i.e. 7338155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3963/165, 5555/546 is 7338155.

LCM(3963/165, 5555/546) = 7338155

LCM of 3963/165, 5555/546

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 3963/165,5555/546

Given numbers are 3963/165,5555/546

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 3963,5555

Least Common Multiple of Numerators i.e. LCM of 3963,5555 is 22014465.

GCF of Denominators means GCF of 165,546 as per the given fractions.

GCF of 165,546 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3963,5555

LCM of Fractions 3963/165,5555/546 is 7338155

Given numbers has no common factors except 1. So, there LCM is their product i.e 22014465

Least Common Multiple of 3963,5555 with GCF Formula

Least Common Multiple of 3963,5555 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 3963,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3963,5555) = 1

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

GCF(3963,5555) x common factors =1 x 1 = 1

LCM(3963,5555) = ( 3963 × 5555 ) / 1

LCM(3963,5555) = 22014465 / 1

LCM(3963,5555) = 22014465


Lets's calculate GCF of 165,546

3 165, 546
55, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22014465/3

Therefore the LCM of Fractions 3963/165,5555/546 is 7338155

Greatest Common Factor of 165,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,546 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 165,546 . The biggest common factor number is the GCF number.
So the greatest common factor 165,546 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3963/165, 5555/546

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 3963/165, 5555/546?

Answer: LCM of Numerators as per given numbers 3963/165, 5555/546 is

LCM of Numerators i.e. for 3963,5555 is 22014465

GCF of denominators i.e. for 165,546 is 3.

Thus, LCM of Fractions is 7338155.Finally, LCM of Fractions for 3963/165, 5555/546 is 7338155.