Least Common Multiple of 29/22, 31/146, 186/622

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/22, 31/146, 186/622 quickly i.e. 2697 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/22, 31/146, 186/622 is 2697.

LCM(29/22, 31/146, 186/622) = 2697

LCM of 29/22, 31/146, 186/622

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 29/22,31/146,186/622

Given numbers are 29/22,31/146,186/622

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 29,31,186

Least Common Multiple of Numerators i.e. LCM of 29,31,186 is 5394.

GCF of Denominators means GCF of 22,146,622 as per the given fractions.

GCF of 22,146,622 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,31,186

LCM of Fractions 29/22,31/146,186/622 is 2697

31 29, 31, 186
29, 1, 6

∴ So the LCM of the given numbers is 31 x 29 x 1 x 6 = 5394

Least Common Multiple of 29,31,186 with GCF Formula

Least Common Multiple of 29,31,186 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 29,31,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,31,186) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(29,31,186) x common factors =1 x 31 = 31

LCM(29,31,186) = ( 29 × 31 × 186 ) / 31

LCM(29,31,186) = 167214 / 31

LCM(29,31,186) = 5394


Lets's calculate GCF of 22,146,622

2 22, 146, 622
11, 73, 311

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5394/2

Therefore the LCM of Fractions 29/22,31/146,186/622 is 2697

Greatest Common Factor of 22,146,622 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,146,622 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Greatest Common Factor

We found the factors 22,146,622 . The biggest common factor number is the GCF number.
So the greatest common factor 22,146,622 is 2.


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 29/22, 31/146, 186/622

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 29/22, 31/146, 186/622?

Answer: LCM of Numerators as per given numbers 29/22, 31/146, 186/622 is

LCM of Numerators i.e. for 29,31,186 is 5394

GCF of denominators i.e. for 22,146,622 is 2.

Thus, LCM of Fractions is 2697.Finally, LCM of Fractions for 29/22, 31/146, 186/622 is 2697.