Least Common Multiple of 84/938, 192/173, 476/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/938, 192/173, 476/343 quickly i.e. 22848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/938, 192/173, 476/343 is 22848.

LCM(84/938, 192/173, 476/343) = 22848

LCM of 84/938, 192/173, 476/343

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 84/938,192/173,476/343

Given numbers are 84/938,192/173,476/343

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 84,192,476

Least Common Multiple of Numerators i.e. LCM of 84,192,476 is 22848.

GCF of Denominators means GCF of 938,173,343 as per the given fractions.

GCF of 938,173,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,192,476

LCM of Fractions 84/938,192/173,476/343 is 22848

2 84, 192, 476
2 42, 96, 238
3 21, 48, 119
7 7, 16, 119
1, 16, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 16 x 17 = 22848

Least Common Multiple of 84,192,476 with GCF Formula

Least Common Multiple of 84,192,476 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 84,192,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,192,476) = 4

common factors(in case of two or more numbers have common factors) = 84

GCF(84,192,476) x common factors =4 x 84 = 336

LCM(84,192,476) = ( 84 × 192 × 476 ) / 336

LCM(84,192,476) = 7676928 / 336

LCM(84,192,476) = 22848


Lets's calculate GCF of 938,173,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22848/1

Therefore the LCM of Fractions 84/938,192/173,476/343 is 22848

Greatest Common Factor of 938,173,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 938,173,343 By Matching Biggest Common Factor Method

Factors of 938

List of positive integer factors of 938 that divides 938 without a remainder.

1,2,7,14,67,134,469,938

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 938,173,343 . The biggest common factor number is the GCF number.
So the greatest common factor 938,173,343 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 84/938, 192/173, 476/343

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 84/938, 192/173, 476/343?

Answer: LCM of Numerators as per given numbers 84/938, 192/173, 476/343 is

LCM of Numerators i.e. for 84,192,476 is 22848

GCF of denominators i.e. for 938,173,343 is 1.

Thus, LCM of Fractions is 22848.Finally, LCM of Fractions for 84/938, 192/173, 476/343 is 22848.