Least Common Multiple of 29/849, 19/149, 426/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/849, 19/149, 426/175 quickly i.e. 234726 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/849, 19/149, 426/175 is 234726.

LCM(29/849, 19/149, 426/175) = 234726

LCM of 29/849, 19/149, 426/175

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 29/849,19/149,426/175

Given numbers are 29/849,19/149,426/175

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 29,19,426

Least Common Multiple of Numerators i.e. LCM of 29,19,426 is 234726.

GCF of Denominators means GCF of 849,149,175 as per the given fractions.

GCF of 849,149,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,19,426

LCM of Fractions 29/849,19/149,426/175 is 234726

Given numbers has no common factors except 1. So, there LCM is their product i.e 234726

Least Common Multiple of 29,19,426 with GCF Formula

Least Common Multiple of 29,19,426 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 29,19,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,19,426) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(29,19,426) x common factors =1 x 1 = 1

LCM(29,19,426) = ( 29 × 19 × 426 ) / 1

LCM(29,19,426) = 234726 / 1

LCM(29,19,426) = 234726


Lets's calculate GCF of 849,149,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 234726/1

Therefore the LCM of Fractions 29/849,19/149,426/175 is 234726

Greatest Common Factor of 849,149,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,149,175 By Matching Biggest Common Factor Method

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 849,149,175 . The biggest common factor number is the GCF number.
So the greatest common factor 849,149,175 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 29/849, 19/149, 426/175

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 29/849, 19/149, 426/175?

Answer: LCM of Numerators as per given numbers 29/849, 19/149, 426/175 is

LCM of Numerators i.e. for 29,19,426 is 234726

GCF of denominators i.e. for 849,149,175 is 1.

Thus, LCM of Fractions is 234726.Finally, LCM of Fractions for 29/849, 19/149, 426/175 is 234726.