Least Common Multiple of 73/80, 78/64, 14/43, 105/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/80, 78/64, 14/43, 105/92 quickly i.e. 199290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/80, 78/64, 14/43, 105/92 is 199290.

LCM(73/80, 78/64, 14/43, 105/92) = 199290

LCM of 73/80, 78/64, 14/43, 105/92

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 73/80,78/64,14/43,105/92

Given numbers are 73/80,78/64,14/43,105/92

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 73,78,14,105

Least Common Multiple of Numerators i.e. LCM of 73,78,14,105 is 199290.

GCF of Denominators means GCF of 80,64,43,92 as per the given fractions.

GCF of 80,64,43,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,78,14,105

LCM of Fractions 73/80,78/64,14/43,105/92 is 199290

2 73, 78, 14, 105
3 73, 39, 7, 105
7 73, 13, 7, 35
73, 13, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 7 x 73 x 13 x 1 x 5 = 199290

Least Common Multiple of 73,78,14,105 with GCF Formula

Least Common Multiple of 73,78,14,105 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 73,78,14,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,78,14,105) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(73,78,14,105) x common factors =1 x 42 = 42

LCM(73,78,14,105) = ( 73 × 78 × 14 × 105 ) / 42

LCM(73,78,14,105) = 8370180 / 42

LCM(73,78,14,105) = 199290


Lets's calculate GCF of 80,64,43,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199290/1

Therefore the LCM of Fractions 73/80,78/64,14/43,105/92 is 199290

Greatest Common Factor of 80,64,43,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,64,43,92 By Matching Biggest Common Factor Method

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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 80,64,43,92 . The biggest common factor number is the GCF number.
So the greatest common factor 80,64,43,92 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 73/80, 78/64, 14/43, 105/92

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 73/80, 78/64, 14/43, 105/92?

Answer: LCM of Numerators as per given numbers 73/80, 78/64, 14/43, 105/92 is

LCM of Numerators i.e. for 73,78,14,105 is 199290

GCF of denominators i.e. for 80,64,43,92 is 1.

Thus, LCM of Fractions is 199290.Finally, LCM of Fractions for 73/80, 78/64, 14/43, 105/92 is 199290.