Least Common Multiple of 78/378, 84/349, 429/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/378, 84/349, 429/703 quickly i.e. 12012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/378, 84/349, 429/703 is 12012.

LCM(78/378, 84/349, 429/703) = 12012

LCM of 78/378, 84/349, 429/703

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 78/378,84/349,429/703

Given numbers are 78/378,84/349,429/703

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 78,84,429

Least Common Multiple of Numerators i.e. LCM of 78,84,429 is 12012.

GCF of Denominators means GCF of 378,349,703 as per the given fractions.

GCF of 378,349,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,84,429

LCM of Fractions 78/378,84/349,429/703 is 12012

2 78, 84, 429
3 39, 42, 429
13 13, 14, 143
1, 14, 11

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 14 x 11 = 12012

Least Common Multiple of 78,84,429 with GCF Formula

Least Common Multiple of 78,84,429 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 78,84,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,84,429) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(78,84,429) x common factors =3 x 78 = 234

LCM(78,84,429) = ( 78 × 84 × 429 ) / 234

LCM(78,84,429) = 2810808 / 234

LCM(78,84,429) = 12012


Lets's calculate GCF of 378,349,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12012/1

Therefore the LCM of Fractions 78/378,84/349,429/703 is 12012

Greatest Common Factor of 378,349,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,349,703 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 378,349,703 . The biggest common factor number is the GCF number.
So the greatest common factor 378,349,703 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 78/378, 84/349, 429/703

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 78/378, 84/349, 429/703?

Answer: LCM of Numerators as per given numbers 78/378, 84/349, 429/703 is

LCM of Numerators i.e. for 78,84,429 is 12012

GCF of denominators i.e. for 378,349,703 is 1.

Thus, LCM of Fractions is 12012.Finally, LCM of Fractions for 78/378, 84/349, 429/703 is 12012.