Least Common Multiple of 99/38, 56/41, 54/80, 40/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/38, 56/41, 54/80, 40/695 quickly i.e. 83160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/38, 56/41, 54/80, 40/695 is 83160.

LCM(99/38, 56/41, 54/80, 40/695) = 83160

LCM of 99/38, 56/41, 54/80, 40/695

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 99/38,56/41,54/80,40/695

Given numbers are 99/38,56/41,54/80,40/695

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 99,56,54,40

Least Common Multiple of Numerators i.e. LCM of 99,56,54,40 is 83160.

GCF of Denominators means GCF of 38,41,80,695 as per the given fractions.

GCF of 38,41,80,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,56,54,40

LCM of Fractions 99/38,56/41,54/80,40/695 is 83160

2 99, 56, 54, 40
2 99, 28, 27, 20
2 99, 14, 27, 10
3 99, 7, 27, 5
3 33, 7, 9, 5
11, 7, 3, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 11 x 7 x 3 x 5 = 83160

Least Common Multiple of 99,56,54,40 with GCF Formula

Least Common Multiple of 99,56,54,40 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 99,56,54,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,56,54,40) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(99,56,54,40) x common factors =1 x 144 = 144

LCM(99,56,54,40) = ( 99 × 56 × 54 × 40 ) / 144

LCM(99,56,54,40) = 11975040 / 144

LCM(99,56,54,40) = 83160


Lets's calculate GCF of 38,41,80,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83160/1

Therefore the LCM of Fractions 99/38,56/41,54/80,40/695 is 83160

Greatest Common Factor of 38,41,80,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,41,80,695 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 38,41,80,695 . The biggest common factor number is the GCF number.
So the greatest common factor 38,41,80,695 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 99/38, 56/41, 54/80, 40/695

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 99/38, 56/41, 54/80, 40/695?

Answer: LCM of Numerators as per given numbers 99/38, 56/41, 54/80, 40/695 is

LCM of Numerators i.e. for 99,56,54,40 is 83160

GCF of denominators i.e. for 38,41,80,695 is 1.

Thus, LCM of Fractions is 83160.Finally, LCM of Fractions for 99/38, 56/41, 54/80, 40/695 is 83160.