Least Common Multiple of 3401/849, 1142/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3401/849, 1142/321 quickly i.e. 3883942/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3401/849, 1142/321 is 3883942/3.

LCM(3401/849, 1142/321) = 3883942/3

LCM of 3401/849, 1142/321

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 3401/849,1142/321

Given numbers are 3401/849,1142/321

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 3401,1142

Least Common Multiple of Numerators i.e. LCM of 3401,1142 is 3883942.

GCF of Denominators means GCF of 849,321 as per the given fractions.

GCF of 849,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3401,1142

LCM of Fractions 3401/849,1142/321 is 3883942/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 3883942

Least Common Multiple of 3401,1142 with GCF Formula

Least Common Multiple of 3401,1142 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 3401,1142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3401,1142) = 1

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

GCF(3401,1142) x common factors =1 x 1 = 1

LCM(3401,1142) = ( 3401 × 1142 ) / 1

LCM(3401,1142) = 3883942 / 1

LCM(3401,1142) = 3883942


Lets's calculate GCF of 849,321

3 849, 321
283, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3883942/3

Therefore the LCM of Fractions 3401/849,1142/321 is 3883942/3

Greatest Common Factor of 849,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,321 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 849,321 . The biggest common factor number is the GCF number.
So the greatest common factor 849,321 is 3.


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 3401/849, 1142/321

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 3401/849, 1142/321?

Answer: LCM of Numerators as per given numbers 3401/849, 1142/321 is

LCM of Numerators i.e. for 3401,1142 is 3883942

GCF of denominators i.e. for 849,321 is 3.

Thus, LCM of Fractions is 3883942/3.Finally, LCM of Fractions for 3401/849, 1142/321 is 3883942/3.