Least Common Multiple of 29/85, 687/90, 686/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 29/85, 687/90, 686/295 quickly i.e. 13667178/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/85, 687/90, 686/295 is 13667178/5.

LCM(29/85, 687/90, 686/295) = 13667178/5

LCM of 29/85, 687/90, 686/295

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 29/85,687/90,686/295

Given numbers are 29/85,687/90,686/295

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 29,687,686

Least Common Multiple of Numerators i.e. LCM of 29,687,686 is 13667178.

GCF of Denominators means GCF of 85,90,295 as per the given fractions.

GCF of 85,90,295 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,687,686

LCM of Fractions 29/85,687/90,686/295 is 13667178/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 13667178

Least Common Multiple of 29,687,686 with GCF Formula

Least Common Multiple of 29,687,686 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 29,687,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,687,686) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,687,686) x common factors =1 x 1 = 1

LCM(29,687,686) = ( 29 × 687 × 686 ) / 1

LCM(29,687,686) = 13667178 / 1

LCM(29,687,686) = 13667178


Lets's calculate GCF of 85,90,295

5 85, 90, 295
17, 18, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13667178/5

Therefore the LCM of Fractions 29/85,687/90,686/295 is 13667178/5

Greatest Common Factor of 85,90,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,90,295 By Matching Biggest Common Factor Method

Factors of 85

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

1,5,17,85

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 85,90,295 . The biggest common factor number is the GCF number.
So the greatest common factor 85,90,295 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 29/85, 687/90, 686/295

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 29/85, 687/90, 686/295?

Answer: LCM of Numerators as per given numbers 29/85, 687/90, 686/295 is

LCM of Numerators i.e. for 29,687,686 is 13667178

GCF of denominators i.e. for 85,90,295 is 5.

Thus, LCM of Fractions is 13667178/5.Finally, LCM of Fractions for 29/85, 687/90, 686/295 is 13667178/5.