Least Common Multiple of 447/99, 6854/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 447/99, 6854/921 quickly i.e. 6854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 447/99, 6854/921 is 6854.

LCM(447/99, 6854/921) = 6854

LCM of 447/99, 6854/921

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 447/99,6854/921

Given numbers are 447/99,6854/921

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 447,6854

Least Common Multiple of Numerators i.e. LCM of 447,6854 is 20562.

GCF of Denominators means GCF of 99,921 as per the given fractions.

GCF of 99,921 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 447,6854

LCM of Fractions 447/99,6854/921 is 6854

149 447, 6854
3, 46

∴ So the LCM of the given numbers is 149 x 3 x 46 = 20562

Least Common Multiple of 447,6854 with GCF Formula

Least Common Multiple of 447,6854 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 447,6854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,6854) = 149

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

GCF(447,6854) x common factors =149 x 1 = 149

LCM(447,6854) = ( 447 × 6854 ) / 149

LCM(447,6854) = 3063738 / 149

LCM(447,6854) = 20562


Lets's calculate GCF of 99,921

3 99, 921
33, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20562/3

Therefore the LCM of Fractions 447/99,6854/921 is 6854

Greatest Common Factor of 99,921 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,921 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 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Greatest Common Factor

We found the factors 99,921 . The biggest common factor number is the GCF number.
So the greatest common factor 99,921 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 447/99, 6854/921

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 447/99, 6854/921?

Answer: LCM of Numerators as per given numbers 447/99, 6854/921 is

LCM of Numerators i.e. for 447,6854 is 20562

GCF of denominators i.e. for 99,921 is 3.

Thus, LCM of Fractions is 6854.Finally, LCM of Fractions for 447/99, 6854/921 is 6854.