Least Common Multiple of 234/35, 123/71, 801/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/35, 123/71, 801/41 quickly i.e. 853866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/35, 123/71, 801/41 is 853866.

LCM(234/35, 123/71, 801/41) = 853866

LCM of 234/35, 123/71, 801/41

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 234/35,123/71,801/41

Given numbers are 234/35,123/71,801/41

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 234,123,801

Least Common Multiple of Numerators i.e. LCM of 234,123,801 is 853866.

GCF of Denominators means GCF of 35,71,41 as per the given fractions.

GCF of 35,71,41 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,123,801

LCM of Fractions 234/35,123/71,801/41 is 853866

3 234, 123, 801
3 78, 41, 267
26, 41, 89

∴ So the LCM of the given numbers is 3 x 3 x 26 x 41 x 89 = 853866

Least Common Multiple of 234,123,801 with GCF Formula

Least Common Multiple of 234,123,801 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 234,123,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,123,801) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(234,123,801) x common factors =3 x 9 = 27

LCM(234,123,801) = ( 234 × 123 × 801 ) / 27

LCM(234,123,801) = 23054382 / 27

LCM(234,123,801) = 853866


Lets's calculate GCF of 35,71,41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 853866/1

Therefore the LCM of Fractions 234/35,123/71,801/41 is 853866

Greatest Common Factor of 35,71,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,71,41 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 35,71,41 . The biggest common factor number is the GCF number.
So the greatest common factor 35,71,41 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 234/35, 123/71, 801/41

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 234/35, 123/71, 801/41?

Answer: LCM of Numerators as per given numbers 234/35, 123/71, 801/41 is

LCM of Numerators i.e. for 234,123,801 is 853866

GCF of denominators i.e. for 35,71,41 is 1.

Thus, LCM of Fractions is 853866.Finally, LCM of Fractions for 234/35, 123/71, 801/41 is 853866.