Least Common Multiple of 46/47, 54/36, 40/41, 34/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/47, 54/36, 40/41, 34/442 quickly i.e. 422280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/47, 54/36, 40/41, 34/442 is 422280.

LCM(46/47, 54/36, 40/41, 34/442) = 422280

LCM of 46/47, 54/36, 40/41, 34/442

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 46/47,54/36,40/41,34/442

Given numbers are 46/47,54/36,40/41,34/442

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 46,54,40,34

Least Common Multiple of Numerators i.e. LCM of 46,54,40,34 is 422280.

GCF of Denominators means GCF of 47,36,41,442 as per the given fractions.

GCF of 47,36,41,442 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,54,40,34

LCM of Fractions 46/47,54/36,40/41,34/442 is 422280

2 46, 54, 40, 34
23, 27, 20, 17

∴ So the LCM of the given numbers is 2 x 23 x 27 x 20 x 17 = 422280

Least Common Multiple of 46,54,40,34 with GCF Formula

Least Common Multiple of 46,54,40,34 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 46,54,40,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,54,40,34) = 2

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

GCF(46,54,40,34) x common factors =2 x 4 = 8

LCM(46,54,40,34) = ( 46 × 54 × 40 × 34 ) / 8

LCM(46,54,40,34) = 3378240 / 8

LCM(46,54,40,34) = 422280


Lets's calculate GCF of 47,36,41,442

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422280/1

Therefore the LCM of Fractions 46/47,54/36,40/41,34/442 is 422280

Greatest Common Factor of 47,36,41,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,36,41,442 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 47,36,41,442 . The biggest common factor number is the GCF number.
So the greatest common factor 47,36,41,442 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 46/47, 54/36, 40/41, 34/442

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 46/47, 54/36, 40/41, 34/442?

Answer: LCM of Numerators as per given numbers 46/47, 54/36, 40/41, 34/442 is

LCM of Numerators i.e. for 46,54,40,34 is 422280

GCF of denominators i.e. for 47,36,41,442 is 1.

Thus, LCM of Fractions is 422280.Finally, LCM of Fractions for 46/47, 54/36, 40/41, 34/442 is 422280.