Least Common Multiple of 340/48, 209/96, 102/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 340/48, 209/96, 102/718 quickly i.e. 106590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/48, 209/96, 102/718 is 106590.

LCM(340/48, 209/96, 102/718) = 106590

LCM of 340/48, 209/96, 102/718

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 340/48,209/96,102/718

Given numbers are 340/48,209/96,102/718

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 340,209,102

Least Common Multiple of Numerators i.e. LCM of 340,209,102 is 213180.

GCF of Denominators means GCF of 48,96,718 as per the given fractions.

GCF of 48,96,718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,209,102

LCM of Fractions 340/48,209/96,102/718 is 106590

2 340, 209, 102
17 170, 209, 51
10, 209, 3

∴ So the LCM of the given numbers is 2 x 17 x 10 x 209 x 3 = 213180

Least Common Multiple of 340,209,102 with GCF Formula

Least Common Multiple of 340,209,102 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 340,209,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,209,102) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(340,209,102) x common factors =1 x 34 = 34

LCM(340,209,102) = ( 340 × 209 × 102 ) / 34

LCM(340,209,102) = 7248120 / 34

LCM(340,209,102) = 213180


Lets's calculate GCF of 48,96,718

2 48, 96, 718
24, 48, 359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213180/2

Therefore the LCM of Fractions 340/48,209/96,102/718 is 106590

Greatest Common Factor of 48,96,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,96,718 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 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 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 48,96,718 . The biggest common factor number is the GCF number.
So the greatest common factor 48,96,718 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 340/48, 209/96, 102/718

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 340/48, 209/96, 102/718?

Answer: LCM of Numerators as per given numbers 340/48, 209/96, 102/718 is

LCM of Numerators i.e. for 340,209,102 is 213180

GCF of denominators i.e. for 48,96,718 is 2.

Thus, LCM of Fractions is 106590.Finally, LCM of Fractions for 340/48, 209/96, 102/718 is 106590.