Least Common Multiple of 219/343, 517/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/343, 517/102 quickly i.e. 113223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/343, 517/102 is 113223.

LCM(219/343, 517/102) = 113223

LCM of 219/343, 517/102

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 219/343,517/102

Given numbers are 219/343,517/102

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 219,517

Least Common Multiple of Numerators i.e. LCM of 219,517 is 113223.

GCF of Denominators means GCF of 343,102 as per the given fractions.

GCF of 343,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,517

LCM of Fractions 219/343,517/102 is 113223

Given numbers has no common factors except 1. So, there LCM is their product i.e 113223

Least Common Multiple of 219,517 with GCF Formula

Least Common Multiple of 219,517 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 219,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,517) = 1

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

GCF(219,517) x common factors =1 x 1 = 1

LCM(219,517) = ( 219 × 517 ) / 1

LCM(219,517) = 113223 / 1

LCM(219,517) = 113223


Lets's calculate GCF of 343,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113223/1

Therefore the LCM of Fractions 219/343,517/102 is 113223

Greatest Common Factor of 343,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,102 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 343,102 . The biggest common factor number is the GCF number.
So the greatest common factor 343,102 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 219/343, 517/102

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 219/343, 517/102?

Answer: LCM of Numerators as per given numbers 219/343, 517/102 is

LCM of Numerators i.e. for 219,517 is 113223

GCF of denominators i.e. for 343,102 is 1.

Thus, LCM of Fractions is 113223.Finally, LCM of Fractions for 219/343, 517/102 is 113223.