Least Common Multiple of 4/17, 4/44, 5/31, 35/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4/17, 4/44, 5/31, 35/165 quickly i.e. 140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4/17, 4/44, 5/31, 35/165 is 140.

LCM(4/17, 4/44, 5/31, 35/165) = 140

LCM of 4/17, 4/44, 5/31, 35/165

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 4/17,4/44,5/31,35/165

Given numbers are 4/17,4/44,5/31,35/165

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 4,4,5,35

Least Common Multiple of Numerators i.e. LCM of 4,4,5,35 is 140.

GCF of Denominators means GCF of 17,44,31,165 as per the given fractions.

GCF of 17,44,31,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4,4,5,35

LCM of Fractions 4/17,4/44,5/31,35/165 is 140

2 4, 4, 5, 35
2 2, 2, 5, 35
5 1, 1, 5, 35
1, 1, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 1 x 1 x 7 = 140

Least Common Multiple of 4,4,5,35 with GCF Formula

Least Common Multiple of 4,4,5,35 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 4,4,5,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4,4,5,35) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(4,4,5,35) x common factors =1 x 20 = 20

LCM(4,4,5,35) = ( 4 × 4 × 5 × 35 ) / 20

LCM(4,4,5,35) = 2800 / 20

LCM(4,4,5,35) = 140


Lets's calculate GCF of 17,44,31,165

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140/1

Therefore the LCM of Fractions 4/17,4/44,5/31,35/165 is 140

Greatest Common Factor of 17,44,31,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,44,31,165 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 165

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

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

Greatest Common Factor

We found the factors 17,44,31,165 . The biggest common factor number is the GCF number.
So the greatest common factor 17,44,31,165 is 1.


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 4/17, 4/44, 5/31, 35/165

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 4/17, 4/44, 5/31, 35/165?

Answer: LCM of Numerators as per given numbers 4/17, 4/44, 5/31, 35/165 is

LCM of Numerators i.e. for 4,4,5,35 is 140

GCF of denominators i.e. for 17,44,31,165 is 1.

Thus, LCM of Fractions is 140.Finally, LCM of Fractions for 4/17, 4/44, 5/31, 35/165 is 140.