Least Common Multiple of 29/42, 29/254, 592/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/42, 29/254, 592/575 quickly i.e. 17168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/42, 29/254, 592/575 is 17168.

LCM(29/42, 29/254, 592/575) = 17168

LCM of 29/42, 29/254, 592/575

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 29/42,29/254,592/575

Given numbers are 29/42,29/254,592/575

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 29,29,592

Least Common Multiple of Numerators i.e. LCM of 29,29,592 is 17168.

GCF of Denominators means GCF of 42,254,575 as per the given fractions.

GCF of 42,254,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,29,592

LCM of Fractions 29/42,29/254,592/575 is 17168

29 29, 29, 592
1, 1, 592

∴ So the LCM of the given numbers is 29 x 1 x 1 x 592 = 17168

Least Common Multiple of 29,29,592 with GCF Formula

Least Common Multiple of 29,29,592 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 29,29,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,29,592) = 1

common factors(in case of two or more numbers have common factors) = 29

GCF(29,29,592) x common factors =1 x 29 = 29

LCM(29,29,592) = ( 29 × 29 × 592 ) / 29

LCM(29,29,592) = 497872 / 29

LCM(29,29,592) = 17168


Lets's calculate GCF of 42,254,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17168/1

Therefore the LCM of Fractions 29/42,29/254,592/575 is 17168

Greatest Common Factor of 42,254,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,254,575 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 42,254,575 . The biggest common factor number is the GCF number.
So the greatest common factor 42,254,575 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 29/42, 29/254, 592/575

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 29/42, 29/254, 592/575?

Answer: LCM of Numerators as per given numbers 29/42, 29/254, 592/575 is

LCM of Numerators i.e. for 29,29,592 is 17168

GCF of denominators i.e. for 42,254,575 is 1.

Thus, LCM of Fractions is 17168.Finally, LCM of Fractions for 29/42, 29/254, 592/575 is 17168.