Least Common Multiple of 17/12, 46/40, 348/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/12, 46/40, 348/117 quickly i.e. 136068 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/12, 46/40, 348/117 is 136068.

LCM(17/12, 46/40, 348/117) = 136068

LCM of 17/12, 46/40, 348/117

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 17/12,46/40,348/117

Given numbers are 17/12,46/40,348/117

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 17,46,348

Least Common Multiple of Numerators i.e. LCM of 17,46,348 is 136068.

GCF of Denominators means GCF of 12,40,117 as per the given fractions.

GCF of 12,40,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,46,348

LCM of Fractions 17/12,46/40,348/117 is 136068

2 17, 46, 348
17, 23, 174

∴ So the LCM of the given numbers is 2 x 17 x 23 x 174 = 136068

Least Common Multiple of 17,46,348 with GCF Formula

Least Common Multiple of 17,46,348 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 17,46,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,46,348) = 1

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

GCF(17,46,348) x common factors =1 x 2 = 2

LCM(17,46,348) = ( 17 × 46 × 348 ) / 2

LCM(17,46,348) = 272136 / 2

LCM(17,46,348) = 136068


Lets's calculate GCF of 12,40,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 136068/1

Therefore the LCM of Fractions 17/12,46/40,348/117 is 136068

Greatest Common Factor of 12,40,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,40,117 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 12,40,117 . The biggest common factor number is the GCF number.
So the greatest common factor 12,40,117 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 17/12, 46/40, 348/117

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 17/12, 46/40, 348/117?

Answer: LCM of Numerators as per given numbers 17/12, 46/40, 348/117 is

LCM of Numerators i.e. for 17,46,348 is 136068

GCF of denominators i.e. for 12,40,117 is 1.

Thus, LCM of Fractions is 136068.Finally, LCM of Fractions for 17/12, 46/40, 348/117 is 136068.