Least Common Multiple of 99/32, 41/82, 55/27, 45/679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/32, 41/82, 55/27, 45/679 quickly i.e. 20295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/32, 41/82, 55/27, 45/679 is 20295.

LCM(99/32, 41/82, 55/27, 45/679) = 20295

LCM of 99/32, 41/82, 55/27, 45/679

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 99/32,41/82,55/27,45/679

Given numbers are 99/32,41/82,55/27,45/679

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 99,41,55,45

Least Common Multiple of Numerators i.e. LCM of 99,41,55,45 is 20295.

GCF of Denominators means GCF of 32,82,27,679 as per the given fractions.

GCF of 32,82,27,679 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,41,55,45

LCM of Fractions 99/32,41/82,55/27,45/679 is 20295

3 99, 41, 55, 45
3 33, 41, 55, 15
5 11, 41, 55, 5
11 11, 41, 11, 1
1, 41, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 1 x 41 x 1 x 1 = 20295

Least Common Multiple of 99,41,55,45 with GCF Formula

Least Common Multiple of 99,41,55,45 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 99,41,55,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,41,55,45) = 1

common factors(in case of two or more numbers have common factors) = 495

GCF(99,41,55,45) x common factors =1 x 495 = 495

LCM(99,41,55,45) = ( 99 × 41 × 55 × 45 ) / 495

LCM(99,41,55,45) = 10046025 / 495

LCM(99,41,55,45) = 20295


Lets's calculate GCF of 32,82,27,679

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20295/1

Therefore the LCM of Fractions 99/32,41/82,55/27,45/679 is 20295

Greatest Common Factor of 32,82,27,679 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,82,27,679 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Greatest Common Factor

We found the factors 32,82,27,679 . The biggest common factor number is the GCF number.
So the greatest common factor 32,82,27,679 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 99/32, 41/82, 55/27, 45/679

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 99/32, 41/82, 55/27, 45/679?

Answer: LCM of Numerators as per given numbers 99/32, 41/82, 55/27, 45/679 is

LCM of Numerators i.e. for 99,41,55,45 is 20295

GCF of denominators i.e. for 32,82,27,679 is 1.

Thus, LCM of Fractions is 20295.Finally, LCM of Fractions for 99/32, 41/82, 55/27, 45/679 is 20295.