Least Common Multiple of 7121/410, 1997/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7121/410, 1997/424 quickly i.e. 14220637/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7121/410, 1997/424 is 14220637/2.

LCM(7121/410, 1997/424) = 14220637/2

LCM of 7121/410, 1997/424

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 7121/410,1997/424

Given numbers are 7121/410,1997/424

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 7121,1997

Least Common Multiple of Numerators i.e. LCM of 7121,1997 is 14220637.

GCF of Denominators means GCF of 410,424 as per the given fractions.

GCF of 410,424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7121,1997

LCM of Fractions 7121/410,1997/424 is 14220637/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 14220637

Least Common Multiple of 7121,1997 with GCF Formula

Least Common Multiple of 7121,1997 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 7121,1997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7121,1997) = 1

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

GCF(7121,1997) x common factors =1 x 1 = 1

LCM(7121,1997) = ( 7121 × 1997 ) / 1

LCM(7121,1997) = 14220637 / 1

LCM(7121,1997) = 14220637


Lets's calculate GCF of 410,424

2 410, 424
205, 212

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14220637/2

Therefore the LCM of Fractions 7121/410,1997/424 is 14220637/2

Greatest Common Factor of 410,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,424 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 410,424 . The biggest common factor number is the GCF number.
So the greatest common factor 410,424 is 2.


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 7121/410, 1997/424

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 7121/410, 1997/424?

Answer: LCM of Numerators as per given numbers 7121/410, 1997/424 is

LCM of Numerators i.e. for 7121,1997 is 14220637

GCF of denominators i.e. for 410,424 is 2.

Thus, LCM of Fractions is 14220637/2.Finally, LCM of Fractions for 7121/410, 1997/424 is 14220637/2.