Least Common Multiple of 45/68, 44/29, 88/85, 73/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/68, 44/29, 88/85, 73/712 quickly i.e. 289080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/68, 44/29, 88/85, 73/712 is 289080.

LCM(45/68, 44/29, 88/85, 73/712) = 289080

LCM of 45/68, 44/29, 88/85, 73/712

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 45/68,44/29,88/85,73/712

Given numbers are 45/68,44/29,88/85,73/712

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 45,44,88,73

Least Common Multiple of Numerators i.e. LCM of 45,44,88,73 is 289080.

GCF of Denominators means GCF of 68,29,85,712 as per the given fractions.

GCF of 68,29,85,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,44,88,73

LCM of Fractions 45/68,44/29,88/85,73/712 is 289080

2 45, 44, 88, 73
2 45, 22, 44, 73
11 45, 11, 22, 73
45, 1, 2, 73

∴ So the LCM of the given numbers is 2 x 2 x 11 x 45 x 1 x 2 x 73 = 289080

Least Common Multiple of 45,44,88,73 with GCF Formula

Least Common Multiple of 45,44,88,73 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 45,44,88,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,44,88,73) = 1

common factors(in case of two or more numbers have common factors) = 44

GCF(45,44,88,73) x common factors =1 x 44 = 44

LCM(45,44,88,73) = ( 45 × 44 × 88 × 73 ) / 44

LCM(45,44,88,73) = 12719520 / 44

LCM(45,44,88,73) = 289080


Lets's calculate GCF of 68,29,85,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289080/1

Therefore the LCM of Fractions 45/68,44/29,88/85,73/712 is 289080

Greatest Common Factor of 68,29,85,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,29,85,712 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 68,29,85,712 . The biggest common factor number is the GCF number.
So the greatest common factor 68,29,85,712 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 45/68, 44/29, 88/85, 73/712

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 45/68, 44/29, 88/85, 73/712?

Answer: LCM of Numerators as per given numbers 45/68, 44/29, 88/85, 73/712 is

LCM of Numerators i.e. for 45,44,88,73 is 289080

GCF of denominators i.e. for 68,29,85,712 is 1.

Thus, LCM of Fractions is 289080.Finally, LCM of Fractions for 45/68, 44/29, 88/85, 73/712 is 289080.