Least Common Multiple of 29/22, 366/68, 219/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/22, 366/68, 219/375 quickly i.e. 774822 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, 366/68, 219/375 is 774822.

LCM(29/22, 366/68, 219/375) = 774822

LCM of 29/22, 366/68, 219/375

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 29/22,366/68,219/375

Given numbers are 29/22,366/68,219/375

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 29,366,219

Least Common Multiple of Numerators i.e. LCM of 29,366,219 is 774822.

GCF of Denominators means GCF of 22,68,375 as per the given fractions.

GCF of 22,68,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,366,219

LCM of Fractions 29/22,366/68,219/375 is 774822

3 29, 366, 219
29, 122, 73

∴ So the LCM of the given numbers is 3 x 29 x 122 x 73 = 774822

Least Common Multiple of 29,366,219 with GCF Formula

Least Common Multiple of 29,366,219 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 29,366,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,366,219) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(29,366,219) x common factors =1 x 3 = 3

LCM(29,366,219) = ( 29 × 366 × 219 ) / 3

LCM(29,366,219) = 2324466 / 3

LCM(29,366,219) = 774822


Lets's calculate GCF of 22,68,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774822/1

Therefore the LCM of Fractions 29/22,366/68,219/375 is 774822

Greatest Common Factor of 22,68,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,68,375 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 68

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

1,2,4,17,34,68

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 22,68,375 . The biggest common factor number is the GCF number.
So the greatest common factor 22,68,375 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 29/22, 366/68, 219/375

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, 366/68, 219/375?

Answer: LCM of Numerators as per given numbers 29/22, 366/68, 219/375 is

LCM of Numerators i.e. for 29,366,219 is 774822

GCF of denominators i.e. for 22,68,375 is 1.

Thus, LCM of Fractions is 774822.Finally, LCM of Fractions for 29/22, 366/68, 219/375 is 774822.