Least Common Multiple of 22/165, 659/933, 737/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/165, 659/933, 737/147 quickly i.e. 971366/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/165, 659/933, 737/147 is 971366/3.

LCM(22/165, 659/933, 737/147) = 971366/3

LCM of 22/165, 659/933, 737/147

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 22/165,659/933,737/147

Given numbers are 22/165,659/933,737/147

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 22,659,737

Least Common Multiple of Numerators i.e. LCM of 22,659,737 is 971366.

GCF of Denominators means GCF of 165,933,147 as per the given fractions.

GCF of 165,933,147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,659,737

LCM of Fractions 22/165,659/933,737/147 is 971366/3

11 22, 659, 737
2, 659, 67

∴ So the LCM of the given numbers is 11 x 2 x 659 x 67 = 971366

Least Common Multiple of 22,659,737 with GCF Formula

Least Common Multiple of 22,659,737 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 22,659,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,659,737) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(22,659,737) x common factors =1 x 11 = 11

LCM(22,659,737) = ( 22 × 659 × 737 ) / 11

LCM(22,659,737) = 10685026 / 11

LCM(22,659,737) = 971366


Lets's calculate GCF of 165,933,147

3 165, 933, 147
55, 311, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 971366/3

Therefore the LCM of Fractions 22/165,659/933,737/147 is 971366/3

Greatest Common Factor of 165,933,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,933,147 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 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 165,933,147 . The biggest common factor number is the GCF number.
So the greatest common factor 165,933,147 is 3.


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 22/165, 659/933, 737/147

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 22/165, 659/933, 737/147?

Answer: LCM of Numerators as per given numbers 22/165, 659/933, 737/147 is

LCM of Numerators i.e. for 22,659,737 is 971366

GCF of denominators i.e. for 165,933,147 is 3.

Thus, LCM of Fractions is 971366/3.Finally, LCM of Fractions for 22/165, 659/933, 737/147 is 971366/3.