Least Common Multiple of 9803/590, 9658/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9803/590, 9658/172 quickly i.e. 47338687 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9803/590, 9658/172 is 47338687.

LCM(9803/590, 9658/172) = 47338687

LCM of 9803/590, 9658/172

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 9803/590,9658/172

Given numbers are 9803/590,9658/172

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 9803,9658

Least Common Multiple of Numerators i.e. LCM of 9803,9658 is 94677374.

GCF of Denominators means GCF of 590,172 as per the given fractions.

GCF of 590,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9803,9658

LCM of Fractions 9803/590,9658/172 is 47338687

Given numbers has no common factors except 1. So, there LCM is their product i.e 94677374

Least Common Multiple of 9803,9658 with GCF Formula

Least Common Multiple of 9803,9658 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 9803,9658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9803,9658) = 1

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

GCF(9803,9658) x common factors =1 x 1 = 1

LCM(9803,9658) = ( 9803 × 9658 ) / 1

LCM(9803,9658) = 94677374 / 1

LCM(9803,9658) = 94677374


Lets's calculate GCF of 590,172

2 590, 172
295, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94677374/2

Therefore the LCM of Fractions 9803/590,9658/172 is 47338687

Greatest Common Factor of 590,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,172 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 590,172 . The biggest common factor number is the GCF number.
So the greatest common factor 590,172 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 9803/590, 9658/172

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 9803/590, 9658/172?

Answer: LCM of Numerators as per given numbers 9803/590, 9658/172 is

LCM of Numerators i.e. for 9803,9658 is 94677374

GCF of denominators i.e. for 590,172 is 2.

Thus, LCM of Fractions is 47338687.Finally, LCM of Fractions for 9803/590, 9658/172 is 47338687.