Least Common Multiple of 17/54, 940/94, 854/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/54, 940/94, 854/108 quickly i.e. 3411730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/54, 940/94, 854/108 is 3411730.

LCM(17/54, 940/94, 854/108) = 3411730

LCM of 17/54, 940/94, 854/108

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 17/54,940/94,854/108

Given numbers are 17/54,940/94,854/108

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 17,940,854

Least Common Multiple of Numerators i.e. LCM of 17,940,854 is 6823460.

GCF of Denominators means GCF of 54,94,108 as per the given fractions.

GCF of 54,94,108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,940,854

LCM of Fractions 17/54,940/94,854/108 is 3411730

2 17, 940, 854
17, 470, 427

∴ So the LCM of the given numbers is 2 x 17 x 470 x 427 = 6823460

Least Common Multiple of 17,940,854 with GCF Formula

Least Common Multiple of 17,940,854 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 17,940,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,940,854) = 1

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

GCF(17,940,854) x common factors =1 x 2 = 2

LCM(17,940,854) = ( 17 × 940 × 854 ) / 2

LCM(17,940,854) = 13646920 / 2

LCM(17,940,854) = 6823460


Lets's calculate GCF of 54,94,108

2 54, 94, 108
27, 47, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6823460/2

Therefore the LCM of Fractions 17/54,940/94,854/108 is 3411730

Greatest Common Factor of 54,94,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,94,108 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 94

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

1,2,47,94

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 54,94,108 . The biggest common factor number is the GCF number.
So the greatest common factor 54,94,108 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 17/54, 940/94, 854/108

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 17/54, 940/94, 854/108?

Answer: LCM of Numerators as per given numbers 17/54, 940/94, 854/108 is

LCM of Numerators i.e. for 17,940,854 is 6823460

GCF of denominators i.e. for 54,94,108 is 2.

Thus, LCM of Fractions is 3411730.Finally, LCM of Fractions for 17/54, 940/94, 854/108 is 3411730.