Least Common Multiple of 742/12, 530/40, 939/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 742/12, 530/40, 939/16 quickly i.e. 3483690/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 742/12, 530/40, 939/16 is 3483690/4.

LCM(742/12, 530/40, 939/16) = 3483690/4

LCM of 742/12, 530/40, 939/16

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 742/12,530/40,939/16

Given numbers are 742/12,530/40,939/16

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 742,530,939

Least Common Multiple of Numerators i.e. LCM of 742,530,939 is 3483690.

GCF of Denominators means GCF of 12,40,16 as per the given fractions.

GCF of 12,40,16 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 742,530,939

LCM of Fractions 742/12,530/40,939/16 is 3483690/4

2 742, 530, 939
53 371, 265, 939
7, 5, 939

∴ So the LCM of the given numbers is 2 x 53 x 7 x 5 x 939 = 3483690

Least Common Multiple of 742,530,939 with GCF Formula

Least Common Multiple of 742,530,939 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 742,530,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(742,530,939) = 1

common factors(in case of two or more numbers have common factors) = 106

GCF(742,530,939) x common factors =1 x 106 = 106

LCM(742,530,939) = ( 742 × 530 × 939 ) / 106

LCM(742,530,939) = 369271140 / 106

LCM(742,530,939) = 3483690


Lets's calculate GCF of 12,40,16

2 12, 40, 16
2 6, 20, 8
3, 10, 4

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3483690/4

Therefore the LCM of Fractions 742/12,530/40,939/16 is 3483690/4

Greatest Common Factor of 12,40,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,40,16 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 12,40,16 . The biggest common factor number is the GCF number.
So the greatest common factor 12,40,16 is 4.


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 742/12, 530/40, 939/16

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 742/12, 530/40, 939/16?

Answer: LCM of Numerators as per given numbers 742/12, 530/40, 939/16 is

LCM of Numerators i.e. for 742,530,939 is 3483690

GCF of denominators i.e. for 12,40,16 is 4.

Thus, LCM of Fractions is 3483690/4.Finally, LCM of Fractions for 742/12, 530/40, 939/16 is 3483690/4.