Least Common Multiple of 8203/168, 3713/9368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8203/168, 3713/9368 quickly i.e. 30457739/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8203/168, 3713/9368 is 30457739/8.

LCM(8203/168, 3713/9368) = 30457739/8

LCM of 8203/168, 3713/9368

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 8203/168,3713/9368

Given numbers are 8203/168,3713/9368

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 8203,3713

Least Common Multiple of Numerators i.e. LCM of 8203,3713 is 30457739.

GCF of Denominators means GCF of 168,9368 as per the given fractions.

GCF of 168,9368 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8203,3713

LCM of Fractions 8203/168,3713/9368 is 30457739/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 30457739

Least Common Multiple of 8203,3713 with GCF Formula

Least Common Multiple of 8203,3713 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 8203,3713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8203,3713) = 1

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

GCF(8203,3713) x common factors =1 x 1 = 1

LCM(8203,3713) = ( 8203 × 3713 ) / 1

LCM(8203,3713) = 30457739 / 1

LCM(8203,3713) = 30457739


Lets's calculate GCF of 168,9368

2 168, 9368
2 84, 4684
2 42, 2342
21, 1171

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30457739/8

Therefore the LCM of Fractions 8203/168,3713/9368 is 30457739/8

Greatest Common Factor of 168,9368 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,9368 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 9368

List of positive integer factors of 9368 that divides 9368 without a remainder.

1,2,4,8,1171,2342,4684,9368

Greatest Common Factor

We found the factors 168,9368 . The biggest common factor number is the GCF number.
So the greatest common factor 168,9368 is 8.


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 8203/168, 3713/9368

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 8203/168, 3713/9368?

Answer: LCM of Numerators as per given numbers 8203/168, 3713/9368 is

LCM of Numerators i.e. for 8203,3713 is 30457739

GCF of denominators i.e. for 168,9368 is 8.

Thus, LCM of Fractions is 30457739/8.Finally, LCM of Fractions for 8203/168, 3713/9368 is 30457739/8.