Least Common Multiple of 68/595, 78/885, 313/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/595, 78/885, 313/145 quickly i.e. 830076/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/595, 78/885, 313/145 is 830076/5.

LCM(68/595, 78/885, 313/145) = 830076/5

LCM of 68/595, 78/885, 313/145

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 68/595,78/885,313/145

Given numbers are 68/595,78/885,313/145

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 68,78,313

Least Common Multiple of Numerators i.e. LCM of 68,78,313 is 830076.

GCF of Denominators means GCF of 595,885,145 as per the given fractions.

GCF of 595,885,145 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,78,313

LCM of Fractions 68/595,78/885,313/145 is 830076/5

2 68, 78, 313
34, 39, 313

∴ So the LCM of the given numbers is 2 x 34 x 39 x 313 = 830076

Least Common Multiple of 68,78,313 with GCF Formula

Least Common Multiple of 68,78,313 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 68,78,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,78,313) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,78,313) x common factors =1 x 2 = 2

LCM(68,78,313) = ( 68 × 78 × 313 ) / 2

LCM(68,78,313) = 1660152 / 2

LCM(68,78,313) = 830076


Lets's calculate GCF of 595,885,145

5 595, 885, 145
119, 177, 29

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 830076/5

Therefore the LCM of Fractions 68/595,78/885,313/145 is 830076/5

Greatest Common Factor of 595,885,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 595,885,145 By Matching Biggest Common Factor Method

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 595,885,145 . The biggest common factor number is the GCF number.
So the greatest common factor 595,885,145 is 5.


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 68/595, 78/885, 313/145

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 68/595, 78/885, 313/145?

Answer: LCM of Numerators as per given numbers 68/595, 78/885, 313/145 is

LCM of Numerators i.e. for 68,78,313 is 830076

GCF of denominators i.e. for 595,885,145 is 5.

Thus, LCM of Fractions is 830076/5.Finally, LCM of Fractions for 68/595, 78/885, 313/145 is 830076/5.