Least Common Multiple of 3217/340, 5203/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3217/340, 5203/383 quickly i.e. 16738051 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3217/340, 5203/383 is 16738051.

LCM(3217/340, 5203/383) = 16738051

LCM of 3217/340, 5203/383

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 3217/340,5203/383

Given numbers are 3217/340,5203/383

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 3217,5203

Least Common Multiple of Numerators i.e. LCM of 3217,5203 is 16738051.

GCF of Denominators means GCF of 340,383 as per the given fractions.

GCF of 340,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3217,5203

LCM of Fractions 3217/340,5203/383 is 16738051

Given numbers has no common factors except 1. So, there LCM is their product i.e 16738051

Least Common Multiple of 3217,5203 with GCF Formula

Least Common Multiple of 3217,5203 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 3217,5203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3217,5203) = 1

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

GCF(3217,5203) x common factors =1 x 1 = 1

LCM(3217,5203) = ( 3217 × 5203 ) / 1

LCM(3217,5203) = 16738051 / 1

LCM(3217,5203) = 16738051


Lets's calculate GCF of 340,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16738051/1

Therefore the LCM of Fractions 3217/340,5203/383 is 16738051

Greatest Common Factor of 340,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,383 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 340,383 . The biggest common factor number is the GCF number.
So the greatest common factor 340,383 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3217/340, 5203/383

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 3217/340, 5203/383?

Answer: LCM of Numerators as per given numbers 3217/340, 5203/383 is

LCM of Numerators i.e. for 3217,5203 is 16738051

GCF of denominators i.e. for 340,383 is 1.

Thus, LCM of Fractions is 16738051.Finally, LCM of Fractions for 3217/340, 5203/383 is 16738051.