Least Common Multiple of 84/48, 378/62, 423/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/48, 378/62, 423/929 quickly i.e. 35532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/48, 378/62, 423/929 is 35532.

LCM(84/48, 378/62, 423/929) = 35532

LCM of 84/48, 378/62, 423/929

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 84/48,378/62,423/929

Given numbers are 84/48,378/62,423/929

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 84,378,423

Least Common Multiple of Numerators i.e. LCM of 84,378,423 is 35532.

GCF of Denominators means GCF of 48,62,929 as per the given fractions.

GCF of 48,62,929 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,378,423

LCM of Fractions 84/48,378/62,423/929 is 35532

2 84, 378, 423
3 42, 189, 423
3 14, 63, 141
7 14, 21, 47
2, 3, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 2 x 3 x 47 = 35532

Least Common Multiple of 84,378,423 with GCF Formula

Least Common Multiple of 84,378,423 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 84,378,423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,378,423) = 3

common factors(in case of two or more numbers have common factors) = 126

GCF(84,378,423) x common factors =3 x 126 = 378

LCM(84,378,423) = ( 84 × 378 × 423 ) / 378

LCM(84,378,423) = 13431096 / 378

LCM(84,378,423) = 35532


Lets's calculate GCF of 48,62,929

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35532/1

Therefore the LCM of Fractions 84/48,378/62,423/929 is 35532

Greatest Common Factor of 48,62,929 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,62,929 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Greatest Common Factor

We found the factors 48,62,929 . The biggest common factor number is the GCF number.
So the greatest common factor 48,62,929 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 84/48, 378/62, 423/929

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 84/48, 378/62, 423/929?

Answer: LCM of Numerators as per given numbers 84/48, 378/62, 423/929 is

LCM of Numerators i.e. for 84,378,423 is 35532

GCF of denominators i.e. for 48,62,929 is 1.

Thus, LCM of Fractions is 35532.Finally, LCM of Fractions for 84/48, 378/62, 423/929 is 35532.