Least Common Multiple of 2197/204, 7623/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2197/204, 7623/962 quickly i.e. 16747731/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2197/204, 7623/962 is 16747731/2.

LCM(2197/204, 7623/962) = 16747731/2

LCM of 2197/204, 7623/962

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 2197/204,7623/962

Given numbers are 2197/204,7623/962

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 2197,7623

Least Common Multiple of Numerators i.e. LCM of 2197,7623 is 16747731.

GCF of Denominators means GCF of 204,962 as per the given fractions.

GCF of 204,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2197,7623

LCM of Fractions 2197/204,7623/962 is 16747731/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 16747731

Least Common Multiple of 2197,7623 with GCF Formula

Least Common Multiple of 2197,7623 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 2197,7623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2197,7623) = 1

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

GCF(2197,7623) x common factors =1 x 1 = 1

LCM(2197,7623) = ( 2197 × 7623 ) / 1

LCM(2197,7623) = 16747731 / 1

LCM(2197,7623) = 16747731


Lets's calculate GCF of 204,962

2 204, 962
102, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16747731/2

Therefore the LCM of Fractions 2197/204,7623/962 is 16747731/2

Greatest Common Factor of 204,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,962 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 204,962 . The biggest common factor number is the GCF number.
So the greatest common factor 204,962 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 2197/204, 7623/962

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 2197/204, 7623/962?

Answer: LCM of Numerators as per given numbers 2197/204, 7623/962 is

LCM of Numerators i.e. for 2197,7623 is 16747731

GCF of denominators i.e. for 204,962 is 2.

Thus, LCM of Fractions is 16747731/2.Finally, LCM of Fractions for 2197/204, 7623/962 is 16747731/2.