Least Common Multiple of 22/31, 47/29, 40/14, 42/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/31, 47/29, 40/14, 42/234 quickly i.e. 434280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/31, 47/29, 40/14, 42/234 is 434280.

LCM(22/31, 47/29, 40/14, 42/234) = 434280

LCM of 22/31, 47/29, 40/14, 42/234

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 22/31,47/29,40/14,42/234

Given numbers are 22/31,47/29,40/14,42/234

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 22,47,40,42

Least Common Multiple of Numerators i.e. LCM of 22,47,40,42 is 434280.

GCF of Denominators means GCF of 31,29,14,234 as per the given fractions.

GCF of 31,29,14,234 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,47,40,42

LCM of Fractions 22/31,47/29,40/14,42/234 is 434280

2 22, 47, 40, 42
11, 47, 20, 21

∴ So the LCM of the given numbers is 2 x 11 x 47 x 20 x 21 = 434280

Least Common Multiple of 22,47,40,42 with GCF Formula

Least Common Multiple of 22,47,40,42 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 22,47,40,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,47,40,42) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(22,47,40,42) x common factors =1 x 4 = 4

LCM(22,47,40,42) = ( 22 × 47 × 40 × 42 ) / 4

LCM(22,47,40,42) = 1737120 / 4

LCM(22,47,40,42) = 434280


Lets's calculate GCF of 31,29,14,234

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434280/1

Therefore the LCM of Fractions 22/31,47/29,40/14,42/234 is 434280

Greatest Common Factor of 31,29,14,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,29,14,234 By Matching Biggest Common Factor Method

Factors of 31

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

1,31

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 31,29,14,234 . The biggest common factor number is the GCF number.
So the greatest common factor 31,29,14,234 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 22/31, 47/29, 40/14, 42/234

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 22/31, 47/29, 40/14, 42/234?

Answer: LCM of Numerators as per given numbers 22/31, 47/29, 40/14, 42/234 is

LCM of Numerators i.e. for 22,47,40,42 is 434280

GCF of denominators i.e. for 31,29,14,234 is 1.

Thus, LCM of Fractions is 434280.Finally, LCM of Fractions for 22/31, 47/29, 40/14, 42/234 is 434280.