Least Common Multiple of 29/496, 22/342, 594/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/496, 22/342, 594/565 quickly i.e. 17226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/496, 22/342, 594/565 is 17226.

LCM(29/496, 22/342, 594/565) = 17226

LCM of 29/496, 22/342, 594/565

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 29/496,22/342,594/565

Given numbers are 29/496,22/342,594/565

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 29,22,594

Least Common Multiple of Numerators i.e. LCM of 29,22,594 is 17226.

GCF of Denominators means GCF of 496,342,565 as per the given fractions.

GCF of 496,342,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,22,594

LCM of Fractions 29/496,22/342,594/565 is 17226

2 29, 22, 594
11 29, 11, 297
29, 1, 27

∴ So the LCM of the given numbers is 2 x 11 x 29 x 1 x 27 = 17226

Least Common Multiple of 29,22,594 with GCF Formula

Least Common Multiple of 29,22,594 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 29,22,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,22,594) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(29,22,594) x common factors =1 x 22 = 22

LCM(29,22,594) = ( 29 × 22 × 594 ) / 22

LCM(29,22,594) = 378972 / 22

LCM(29,22,594) = 17226


Lets's calculate GCF of 496,342,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17226/1

Therefore the LCM of Fractions 29/496,22/342,594/565 is 17226

Greatest Common Factor of 496,342,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 496,342,565 By Matching Biggest Common Factor Method

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 496,342,565 . The biggest common factor number is the GCF number.
So the greatest common factor 496,342,565 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 29/496, 22/342, 594/565

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 29/496, 22/342, 594/565?

Answer: LCM of Numerators as per given numbers 29/496, 22/342, 594/565 is

LCM of Numerators i.e. for 29,22,594 is 17226

GCF of denominators i.e. for 496,342,565 is 1.

Thus, LCM of Fractions is 17226.Finally, LCM of Fractions for 29/496, 22/342, 594/565 is 17226.