Least Common Multiple of 744/36, 359/12, 606/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/36, 359/12, 606/284 quickly i.e. 6744174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/36, 359/12, 606/284 is 6744174.

LCM(744/36, 359/12, 606/284) = 6744174

LCM of 744/36, 359/12, 606/284

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 744/36,359/12,606/284

Given numbers are 744/36,359/12,606/284

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 744,359,606

Least Common Multiple of Numerators i.e. LCM of 744,359,606 is 26976696.

GCF of Denominators means GCF of 36,12,284 as per the given fractions.

GCF of 36,12,284 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,359,606

LCM of Fractions 744/36,359/12,606/284 is 6744174

2 744, 359, 606
3 372, 359, 303
124, 359, 101

∴ So the LCM of the given numbers is 2 x 3 x 124 x 359 x 101 = 26976696

Least Common Multiple of 744,359,606 with GCF Formula

Least Common Multiple of 744,359,606 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 744,359,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,359,606) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(744,359,606) x common factors =1 x 6 = 6

LCM(744,359,606) = ( 744 × 359 × 606 ) / 6

LCM(744,359,606) = 161860176 / 6

LCM(744,359,606) = 26976696


Lets's calculate GCF of 36,12,284

2 36, 12, 284
2 18, 6, 142
9, 3, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26976696/4

Therefore the LCM of Fractions 744/36,359/12,606/284 is 6744174

Greatest Common Factor of 36,12,284 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,12,284 By Matching Biggest Common Factor Method

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 12

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

1,2,3,4,6,12

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Greatest Common Factor

We found the factors 36,12,284 . The biggest common factor number is the GCF number.
So the greatest common factor 36,12,284 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 744/36, 359/12, 606/284

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 744/36, 359/12, 606/284?

Answer: LCM of Numerators as per given numbers 744/36, 359/12, 606/284 is

LCM of Numerators i.e. for 744,359,606 is 26976696

GCF of denominators i.e. for 36,12,284 is 4.

Thus, LCM of Fractions is 6744174.Finally, LCM of Fractions for 744/36, 359/12, 606/284 is 6744174.