Least Common Multiple of 4097/672, 5131/8401

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4097/672, 5131/8401 quickly i.e. 21021707 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4097/672, 5131/8401 is 21021707.

LCM(4097/672, 5131/8401) = 21021707

LCM of 4097/672, 5131/8401

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 4097/672,5131/8401

Given numbers are 4097/672,5131/8401

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 4097,5131

Least Common Multiple of Numerators i.e. LCM of 4097,5131 is 21021707.

GCF of Denominators means GCF of 672,8401 as per the given fractions.

GCF of 672,8401 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4097,5131

LCM of Fractions 4097/672,5131/8401 is 21021707

Given numbers has no common factors except 1. So, there LCM is their product i.e 21021707

Least Common Multiple of 4097,5131 with GCF Formula

Least Common Multiple of 4097,5131 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 4097,5131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4097,5131) = 1

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

GCF(4097,5131) x common factors =1 x 1 = 1

LCM(4097,5131) = ( 4097 × 5131 ) / 1

LCM(4097,5131) = 21021707 / 1

LCM(4097,5131) = 21021707


Lets's calculate GCF of 672,8401

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21021707/1

Therefore the LCM of Fractions 4097/672,5131/8401 is 21021707

Greatest Common Factor of 672,8401 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,8401 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 8401

List of positive integer factors of 8401 that divides 8401 without a remainder.

1,31,271,8401

Greatest Common Factor

We found the factors 672,8401 . The biggest common factor number is the GCF number.
So the greatest common factor 672,8401 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 4097/672, 5131/8401

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 4097/672, 5131/8401?

Answer: LCM of Numerators as per given numbers 4097/672, 5131/8401 is

LCM of Numerators i.e. for 4097,5131 is 21021707

GCF of denominators i.e. for 672,8401 is 1.

Thus, LCM of Fractions is 21021707.Finally, LCM of Fractions for 4097/672, 5131/8401 is 21021707.