Least Common Multiple of 714/39, 386/30, 369/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 714/39, 386/30, 369/147 quickly i.e. 5649882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 714/39, 386/30, 369/147 is 5649882.

LCM(714/39, 386/30, 369/147) = 5649882

LCM of 714/39, 386/30, 369/147

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 714/39,386/30,369/147

Given numbers are 714/39,386/30,369/147

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 714,386,369

Least Common Multiple of Numerators i.e. LCM of 714,386,369 is 16949646.

GCF of Denominators means GCF of 39,30,147 as per the given fractions.

GCF of 39,30,147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 714,386,369

LCM of Fractions 714/39,386/30,369/147 is 5649882

2 714, 386, 369
3 357, 193, 369
119, 193, 123

∴ So the LCM of the given numbers is 2 x 3 x 119 x 193 x 123 = 16949646

Least Common Multiple of 714,386,369 with GCF Formula

Least Common Multiple of 714,386,369 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 714,386,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(714,386,369) = 1

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

GCF(714,386,369) x common factors =1 x 6 = 6

LCM(714,386,369) = ( 714 × 386 × 369 ) / 6

LCM(714,386,369) = 101697876 / 6

LCM(714,386,369) = 16949646


Lets's calculate GCF of 39,30,147

3 39, 30, 147
13, 10, 49

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16949646/3

Therefore the LCM of Fractions 714/39,386/30,369/147 is 5649882

Greatest Common Factor of 39,30,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,30,147 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 39,30,147 . The biggest common factor number is the GCF number.
So the greatest common factor 39,30,147 is 3.


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 714/39, 386/30, 369/147

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 714/39, 386/30, 369/147?

Answer: LCM of Numerators as per given numbers 714/39, 386/30, 369/147 is

LCM of Numerators i.e. for 714,386,369 is 16949646

GCF of denominators i.e. for 39,30,147 is 3.

Thus, LCM of Fractions is 5649882.Finally, LCM of Fractions for 714/39, 386/30, 369/147 is 5649882.