Least Common Multiple of 40/42, 749/19, 302/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/42, 749/19, 302/584 quickly i.e. 4523960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/42, 749/19, 302/584 is 4523960.

LCM(40/42, 749/19, 302/584) = 4523960

LCM of 40/42, 749/19, 302/584

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 40/42,749/19,302/584

Given numbers are 40/42,749/19,302/584

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 40,749,302

Least Common Multiple of Numerators i.e. LCM of 40,749,302 is 4523960.

GCF of Denominators means GCF of 42,19,584 as per the given fractions.

GCF of 42,19,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,749,302

LCM of Fractions 40/42,749/19,302/584 is 4523960

2 40, 749, 302
20, 749, 151

∴ So the LCM of the given numbers is 2 x 20 x 749 x 151 = 4523960

Least Common Multiple of 40,749,302 with GCF Formula

Least Common Multiple of 40,749,302 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 40,749,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,749,302) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,749,302) x common factors =1 x 2 = 2

LCM(40,749,302) = ( 40 × 749 × 302 ) / 2

LCM(40,749,302) = 9047920 / 2

LCM(40,749,302) = 4523960


Lets's calculate GCF of 42,19,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4523960/1

Therefore the LCM of Fractions 40/42,749/19,302/584 is 4523960

Greatest Common Factor of 42,19,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,19,584 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 42,19,584 . The biggest common factor number is the GCF number.
So the greatest common factor 42,19,584 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 40/42, 749/19, 302/584

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 40/42, 749/19, 302/584?

Answer: LCM of Numerators as per given numbers 40/42, 749/19, 302/584 is

LCM of Numerators i.e. for 40,749,302 is 4523960

GCF of denominators i.e. for 42,19,584 is 1.

Thus, LCM of Fractions is 4523960.Finally, LCM of Fractions for 40/42, 749/19, 302/584 is 4523960.