Least Common Multiple of 862/199, 7302/9657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 862/199, 7302/9657 quickly i.e. 3147162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 862/199, 7302/9657 is 3147162.

LCM(862/199, 7302/9657) = 3147162

LCM of 862/199, 7302/9657

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 862/199,7302/9657

Given numbers are 862/199,7302/9657

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 862,7302

Least Common Multiple of Numerators i.e. LCM of 862,7302 is 3147162.

GCF of Denominators means GCF of 199,9657 as per the given fractions.

GCF of 199,9657 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 862,7302

LCM of Fractions 862/199,7302/9657 is 3147162

2 862, 7302
431, 3651

∴ So the LCM of the given numbers is 2 x 431 x 3651 = 3147162

Least Common Multiple of 862,7302 with GCF Formula

Least Common Multiple of 862,7302 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 862,7302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(862,7302) = 2

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

GCF(862,7302) x common factors =2 x 1 = 2

LCM(862,7302) = ( 862 × 7302 ) / 2

LCM(862,7302) = 6294324 / 2

LCM(862,7302) = 3147162


Lets's calculate GCF of 199,9657

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3147162/1

Therefore the LCM of Fractions 862/199,7302/9657 is 3147162

Greatest Common Factor of 199,9657 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,9657 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 9657

List of positive integer factors of 9657 that divides 9657 without a remainder.

1,3,9,29,37,87,111,261,333,1073,3219,9657

Greatest Common Factor

We found the factors 199,9657 . The biggest common factor number is the GCF number.
So the greatest common factor 199,9657 is 1.


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 862/199, 7302/9657

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 862/199, 7302/9657?

Answer: LCM of Numerators as per given numbers 862/199, 7302/9657 is

LCM of Numerators i.e. for 862,7302 is 3147162

GCF of denominators i.e. for 199,9657 is 1.

Thus, LCM of Fractions is 3147162.Finally, LCM of Fractions for 862/199, 7302/9657 is 3147162.