Least Common Multiple of 46/37, 38/54, 57/17, 40/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/37, 38/54, 57/17, 40/742 quickly i.e. 52440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/37, 38/54, 57/17, 40/742 is 52440.

LCM(46/37, 38/54, 57/17, 40/742) = 52440

LCM of 46/37, 38/54, 57/17, 40/742

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 46/37,38/54,57/17,40/742

Given numbers are 46/37,38/54,57/17,40/742

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 46,38,57,40

Least Common Multiple of Numerators i.e. LCM of 46,38,57,40 is 52440.

GCF of Denominators means GCF of 37,54,17,742 as per the given fractions.

GCF of 37,54,17,742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,38,57,40

LCM of Fractions 46/37,38/54,57/17,40/742 is 52440

2 46, 38, 57, 40
19 23, 19, 57, 20
23, 1, 3, 20

∴ So the LCM of the given numbers is 2 x 19 x 23 x 1 x 3 x 20 = 52440

Least Common Multiple of 46,38,57,40 with GCF Formula

Least Common Multiple of 46,38,57,40 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 46,38,57,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,38,57,40) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(46,38,57,40) x common factors =1 x 76 = 76

LCM(46,38,57,40) = ( 46 × 38 × 57 × 40 ) / 76

LCM(46,38,57,40) = 3985440 / 76

LCM(46,38,57,40) = 52440


Lets's calculate GCF of 37,54,17,742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52440/1

Therefore the LCM of Fractions 46/37,38/54,57/17,40/742 is 52440

Greatest Common Factor of 37,54,17,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,54,17,742 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 17

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

1,17

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 37,54,17,742 . The biggest common factor number is the GCF number.
So the greatest common factor 37,54,17,742 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 46/37, 38/54, 57/17, 40/742

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 46/37, 38/54, 57/17, 40/742?

Answer: LCM of Numerators as per given numbers 46/37, 38/54, 57/17, 40/742 is

LCM of Numerators i.e. for 46,38,57,40 is 52440

GCF of denominators i.e. for 37,54,17,742 is 1.

Thus, LCM of Fractions is 52440.Finally, LCM of Fractions for 46/37, 38/54, 57/17, 40/742 is 52440.