Least Common Multiple of 900/99, 838/7197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 900/99, 838/7197 quickly i.e. 125700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 900/99, 838/7197 is 125700.

LCM(900/99, 838/7197) = 125700

LCM of 900/99, 838/7197

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 900/99,838/7197

Given numbers are 900/99,838/7197

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 900,838

Least Common Multiple of Numerators i.e. LCM of 900,838 is 377100.

GCF of Denominators means GCF of 99,7197 as per the given fractions.

GCF of 99,7197 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 900,838

LCM of Fractions 900/99,838/7197 is 125700

2 900, 838
450, 419

∴ So the LCM of the given numbers is 2 x 450 x 419 = 377100

Least Common Multiple of 900,838 with GCF Formula

Least Common Multiple of 900,838 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 900,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,838) = 2

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

GCF(900,838) x common factors =2 x 1 = 2

LCM(900,838) = ( 900 × 838 ) / 2

LCM(900,838) = 754200 / 2

LCM(900,838) = 377100


Lets's calculate GCF of 99,7197

3 99, 7197
33, 2399

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377100/3

Therefore the LCM of Fractions 900/99,838/7197 is 125700

Greatest Common Factor of 99,7197 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,7197 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 7197

List of positive integer factors of 7197 that divides 7197 without a remainder.

1,3,2399,7197

Greatest Common Factor

We found the factors 99,7197 . The biggest common factor number is the GCF number.
So the greatest common factor 99,7197 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 900/99, 838/7197

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 900/99, 838/7197?

Answer: LCM of Numerators as per given numbers 900/99, 838/7197 is

LCM of Numerators i.e. for 900,838 is 377100

GCF of denominators i.e. for 99,7197 is 3.

Thus, LCM of Fractions is 125700.Finally, LCM of Fractions for 900/99, 838/7197 is 125700.