Least Common Multiple of 4101/357, 9891/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4101/357, 9891/358 quickly i.e. 13520997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4101/357, 9891/358 is 13520997.

LCM(4101/357, 9891/358) = 13520997

LCM of 4101/357, 9891/358

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 4101/357,9891/358

Given numbers are 4101/357,9891/358

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 4101,9891

Least Common Multiple of Numerators i.e. LCM of 4101,9891 is 13520997.

GCF of Denominators means GCF of 357,358 as per the given fractions.

GCF of 357,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4101,9891

LCM of Fractions 4101/357,9891/358 is 13520997

3 4101, 9891
1367, 3297

∴ So the LCM of the given numbers is 3 x 1367 x 3297 = 13520997

Least Common Multiple of 4101,9891 with GCF Formula

Least Common Multiple of 4101,9891 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 4101,9891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4101,9891) = 3

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

GCF(4101,9891) x common factors =3 x 1 = 3

LCM(4101,9891) = ( 4101 × 9891 ) / 3

LCM(4101,9891) = 40562991 / 3

LCM(4101,9891) = 13520997


Lets's calculate GCF of 357,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13520997/1

Therefore the LCM of Fractions 4101/357,9891/358 is 13520997

Greatest Common Factor of 357,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,358 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 357,358 . The biggest common factor number is the GCF number.
So the greatest common factor 357,358 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 4101/357, 9891/358

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 4101/357, 9891/358?

Answer: LCM of Numerators as per given numbers 4101/357, 9891/358 is

LCM of Numerators i.e. for 4101,9891 is 13520997

GCF of denominators i.e. for 357,358 is 1.

Thus, LCM of Fractions is 13520997.Finally, LCM of Fractions for 4101/357, 9891/358 is 13520997.