Least Common Multiple of 339/120, 4148/1681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 339/120, 4148/1681 quickly i.e. 1406172 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 339/120, 4148/1681 is 1406172.

LCM(339/120, 4148/1681) = 1406172

LCM of 339/120, 4148/1681

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 339/120,4148/1681

Given numbers are 339/120,4148/1681

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 339,4148

Least Common Multiple of Numerators i.e. LCM of 339,4148 is 1406172.

GCF of Denominators means GCF of 120,1681 as per the given fractions.

GCF of 120,1681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 339,4148

LCM of Fractions 339/120,4148/1681 is 1406172

Given numbers has no common factors except 1. So, there LCM is their product i.e 1406172

Least Common Multiple of 339,4148 with GCF Formula

Least Common Multiple of 339,4148 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 339,4148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(339,4148) = 1

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

GCF(339,4148) x common factors =1 x 1 = 1

LCM(339,4148) = ( 339 × 4148 ) / 1

LCM(339,4148) = 1406172 / 1

LCM(339,4148) = 1406172


Lets's calculate GCF of 120,1681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1406172/1

Therefore the LCM of Fractions 339/120,4148/1681 is 1406172

Greatest Common Factor of 120,1681 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,1681 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 1681

List of positive integer factors of 1681 that divides 1681 without a remainder.

1,41,1681

Greatest Common Factor

We found the factors 120,1681 . The biggest common factor number is the GCF number.
So the greatest common factor 120,1681 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 339/120, 4148/1681

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 339/120, 4148/1681?

Answer: LCM of Numerators as per given numbers 339/120, 4148/1681 is

LCM of Numerators i.e. for 339,4148 is 1406172

GCF of denominators i.e. for 120,1681 is 1.

Thus, LCM of Fractions is 1406172.Finally, LCM of Fractions for 339/120, 4148/1681 is 1406172.