Least Common Multiple of 5317/354, 1376/223

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5317/354, 1376/223 quickly i.e. 7316192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5317/354, 1376/223 is 7316192.

LCM(5317/354, 1376/223) = 7316192

LCM of 5317/354, 1376/223

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 5317/354,1376/223

Given numbers are 5317/354,1376/223

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 5317,1376

Least Common Multiple of Numerators i.e. LCM of 5317,1376 is 7316192.

GCF of Denominators means GCF of 354,223 as per the given fractions.

GCF of 354,223 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5317,1376

LCM of Fractions 5317/354,1376/223 is 7316192

Given numbers has no common factors except 1. So, there LCM is their product i.e 7316192

Least Common Multiple of 5317,1376 with GCF Formula

Least Common Multiple of 5317,1376 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 5317,1376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5317,1376) = 1

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

GCF(5317,1376) x common factors =1 x 1 = 1

LCM(5317,1376) = ( 5317 × 1376 ) / 1

LCM(5317,1376) = 7316192 / 1

LCM(5317,1376) = 7316192


Lets's calculate GCF of 354,223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7316192/1

Therefore the LCM of Fractions 5317/354,1376/223 is 7316192

Greatest Common Factor of 354,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 354,223 By Matching Biggest Common Factor Method

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Greatest Common Factor

We found the factors 354,223 . The biggest common factor number is the GCF number.
So the greatest common factor 354,223 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5317/354, 1376/223

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 5317/354, 1376/223?

Answer: LCM of Numerators as per given numbers 5317/354, 1376/223 is

LCM of Numerators i.e. for 5317,1376 is 7316192

GCF of denominators i.e. for 354,223 is 1.

Thus, LCM of Fractions is 7316192.Finally, LCM of Fractions for 5317/354, 1376/223 is 7316192.