Least Common Multiple of 1963/342, 9182/4149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1963/342, 9182/4149 quickly i.e. 18024266/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1963/342, 9182/4149 is 18024266/9.

LCM(1963/342, 9182/4149) = 18024266/9

LCM of 1963/342, 9182/4149

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 1963/342,9182/4149

Given numbers are 1963/342,9182/4149

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 1963,9182

Least Common Multiple of Numerators i.e. LCM of 1963,9182 is 18024266.

GCF of Denominators means GCF of 342,4149 as per the given fractions.

GCF of 342,4149 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1963,9182

LCM of Fractions 1963/342,9182/4149 is 18024266/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 18024266

Least Common Multiple of 1963,9182 with GCF Formula

Least Common Multiple of 1963,9182 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 1963,9182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1963,9182) = 1

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

GCF(1963,9182) x common factors =1 x 1 = 1

LCM(1963,9182) = ( 1963 × 9182 ) / 1

LCM(1963,9182) = 18024266 / 1

LCM(1963,9182) = 18024266


Lets's calculate GCF of 342,4149

3 342, 4149
3 114, 1383
38, 461

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18024266/9

Therefore the LCM of Fractions 1963/342,9182/4149 is 18024266/9

Greatest Common Factor of 342,4149 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,4149 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 4149

List of positive integer factors of 4149 that divides 4149 without a remainder.

1,3,9,461,1383,4149

Greatest Common Factor

We found the factors 342,4149 . The biggest common factor number is the GCF number.
So the greatest common factor 342,4149 is 9.


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 1963/342, 9182/4149

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 1963/342, 9182/4149?

Answer: LCM of Numerators as per given numbers 1963/342, 9182/4149 is

LCM of Numerators i.e. for 1963,9182 is 18024266

GCF of denominators i.e. for 342,4149 is 9.

Thus, LCM of Fractions is 18024266/9.Finally, LCM of Fractions for 1963/342, 9182/4149 is 18024266/9.