Least Common Multiple of 54/94, 341/96, 172/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/94, 341/96, 172/334 quickly i.e. 791802 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/94, 341/96, 172/334 is 791802.

LCM(54/94, 341/96, 172/334) = 791802

LCM of 54/94, 341/96, 172/334

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 54/94,341/96,172/334

Given numbers are 54/94,341/96,172/334

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 54,341,172

Least Common Multiple of Numerators i.e. LCM of 54,341,172 is 1583604.

GCF of Denominators means GCF of 94,96,334 as per the given fractions.

GCF of 94,96,334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,341,172

LCM of Fractions 54/94,341/96,172/334 is 791802

2 54, 341, 172
27, 341, 86

∴ So the LCM of the given numbers is 2 x 27 x 341 x 86 = 1583604

Least Common Multiple of 54,341,172 with GCF Formula

Least Common Multiple of 54,341,172 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 54,341,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,341,172) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,341,172) x common factors =1 x 2 = 2

LCM(54,341,172) = ( 54 × 341 × 172 ) / 2

LCM(54,341,172) = 3167208 / 2

LCM(54,341,172) = 1583604


Lets's calculate GCF of 94,96,334

2 94, 96, 334
47, 48, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1583604/2

Therefore the LCM of Fractions 54/94,341/96,172/334 is 791802

Greatest Common Factor of 94,96,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,96,334 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 94,96,334 . The biggest common factor number is the GCF number.
So the greatest common factor 94,96,334 is 2.


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 54/94, 341/96, 172/334

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 54/94, 341/96, 172/334?

Answer: LCM of Numerators as per given numbers 54/94, 341/96, 172/334 is

LCM of Numerators i.e. for 54,341,172 is 1583604

GCF of denominators i.e. for 94,96,334 is 2.

Thus, LCM of Fractions is 791802.Finally, LCM of Fractions for 54/94, 341/96, 172/334 is 791802.