Least Common Multiple of 3401/435, 6163/3951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3401/435, 6163/3951 quickly i.e. 20960363/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3401/435, 6163/3951 is 20960363/3.

LCM(3401/435, 6163/3951) = 20960363/3

LCM of 3401/435, 6163/3951

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 3401/435,6163/3951

Given numbers are 3401/435,6163/3951

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 3401,6163

Least Common Multiple of Numerators i.e. LCM of 3401,6163 is 20960363.

GCF of Denominators means GCF of 435,3951 as per the given fractions.

GCF of 435,3951 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3401,6163

LCM of Fractions 3401/435,6163/3951 is 20960363/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 20960363

Least Common Multiple of 3401,6163 with GCF Formula

Least Common Multiple of 3401,6163 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 3401,6163 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3401,6163) = 1

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

GCF(3401,6163) x common factors =1 x 1 = 1

LCM(3401,6163) = ( 3401 × 6163 ) / 1

LCM(3401,6163) = 20960363 / 1

LCM(3401,6163) = 20960363


Lets's calculate GCF of 435,3951

3 435, 3951
145, 1317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20960363/3

Therefore the LCM of Fractions 3401/435,6163/3951 is 20960363/3

Greatest Common Factor of 435,3951 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,3951 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 3951

List of positive integer factors of 3951 that divides 3951 without a remainder.

1,3,9,439,1317,3951

Greatest Common Factor

We found the factors 435,3951 . The biggest common factor number is the GCF number.
So the greatest common factor 435,3951 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 3401/435, 6163/3951

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 3401/435, 6163/3951?

Answer: LCM of Numerators as per given numbers 3401/435, 6163/3951 is

LCM of Numerators i.e. for 3401,6163 is 20960363

GCF of denominators i.e. for 435,3951 is 3.

Thus, LCM of Fractions is 20960363/3.Finally, LCM of Fractions for 3401/435, 6163/3951 is 20960363/3.