Least Common Multiple of 29/60, 174/96, 262/186

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/60, 174/96, 262/186 quickly i.e. 3799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/60, 174/96, 262/186 is 3799.

LCM(29/60, 174/96, 262/186) = 3799

LCM of 29/60, 174/96, 262/186

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 29/60,174/96,262/186

Given numbers are 29/60,174/96,262/186

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 29,174,262

Least Common Multiple of Numerators i.e. LCM of 29,174,262 is 22794.

GCF of Denominators means GCF of 60,96,186 as per the given fractions.

GCF of 60,96,186 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,174,262

LCM of Fractions 29/60,174/96,262/186 is 3799

2 29, 174, 262
29 29, 87, 131
1, 3, 131

∴ So the LCM of the given numbers is 2 x 29 x 1 x 3 x 131 = 22794

Least Common Multiple of 29,174,262 with GCF Formula

Least Common Multiple of 29,174,262 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 29,174,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,174,262) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(29,174,262) x common factors =1 x 58 = 58

LCM(29,174,262) = ( 29 × 174 × 262 ) / 58

LCM(29,174,262) = 1322052 / 58

LCM(29,174,262) = 22794


Lets's calculate GCF of 60,96,186

2 60, 96, 186
3 30, 48, 93
10, 16, 31

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22794/6

Therefore the LCM of Fractions 29/60,174/96,262/186 is 3799

Greatest Common Factor of 60,96,186 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,96,186 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors 60,96,186 . The biggest common factor number is the GCF number.
So the greatest common factor 60,96,186 is 6.


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 29/60, 174/96, 262/186

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 29/60, 174/96, 262/186?

Answer: LCM of Numerators as per given numbers 29/60, 174/96, 262/186 is

LCM of Numerators i.e. for 29,174,262 is 22794

GCF of denominators i.e. for 60,96,186 is 6.

Thus, LCM of Fractions is 3799.Finally, LCM of Fractions for 29/60, 174/96, 262/186 is 3799.