Least Common Multiple of 338/688, 2217/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 338/688, 2217/106 quickly i.e. 374673 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 338/688, 2217/106 is 374673.

LCM(338/688, 2217/106) = 374673

LCM of 338/688, 2217/106

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 338/688,2217/106

Given numbers are 338/688,2217/106

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 338,2217

Least Common Multiple of Numerators i.e. LCM of 338,2217 is 749346.

GCF of Denominators means GCF of 688,106 as per the given fractions.

GCF of 688,106 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 338,2217

LCM of Fractions 338/688,2217/106 is 374673

Given numbers has no common factors except 1. So, there LCM is their product i.e 749346

Least Common Multiple of 338,2217 with GCF Formula

Least Common Multiple of 338,2217 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 338,2217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,2217) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(338,2217) x common factors =1 x 1 = 1

LCM(338,2217) = ( 338 × 2217 ) / 1

LCM(338,2217) = 749346 / 1

LCM(338,2217) = 749346


Lets's calculate GCF of 688,106

2 688, 106
344, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749346/2

Therefore the LCM of Fractions 338/688,2217/106 is 374673

Greatest Common Factor of 688,106 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,106 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Greatest Common Factor

We found the factors 688,106 . The biggest common factor number is the GCF number.
So the greatest common factor 688,106 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 338/688, 2217/106

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 338/688, 2217/106?

Answer: LCM of Numerators as per given numbers 338/688, 2217/106 is

LCM of Numerators i.e. for 338,2217 is 749346

GCF of denominators i.e. for 688,106 is 2.

Thus, LCM of Fractions is 374673.Finally, LCM of Fractions for 338/688, 2217/106 is 374673.