Least Common Multiple of 11/34, 726/46, 801/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/34, 726/46, 801/232 quickly i.e. 96921 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/34, 726/46, 801/232 is 96921.

LCM(11/34, 726/46, 801/232) = 96921

LCM of 11/34, 726/46, 801/232

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 11/34,726/46,801/232

Given numbers are 11/34,726/46,801/232

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 11,726,801

Least Common Multiple of Numerators i.e. LCM of 11,726,801 is 193842.

GCF of Denominators means GCF of 34,46,232 as per the given fractions.

GCF of 34,46,232 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,726,801

LCM of Fractions 11/34,726/46,801/232 is 96921

3 11, 726, 801
11 11, 242, 267
1, 22, 267

∴ So the LCM of the given numbers is 3 x 11 x 1 x 22 x 267 = 193842

Least Common Multiple of 11,726,801 with GCF Formula

Least Common Multiple of 11,726,801 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 11,726,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,726,801) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(11,726,801) x common factors =1 x 33 = 33

LCM(11,726,801) = ( 11 × 726 × 801 ) / 33

LCM(11,726,801) = 6396786 / 33

LCM(11,726,801) = 193842


Lets's calculate GCF of 34,46,232

2 34, 46, 232
17, 23, 116

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193842/2

Therefore the LCM of Fractions 11/34,726/46,801/232 is 96921

Greatest Common Factor of 34,46,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,46,232 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 34,46,232 . The biggest common factor number is the GCF number.
So the greatest common factor 34,46,232 is 2.


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 11/34, 726/46, 801/232

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 11/34, 726/46, 801/232?

Answer: LCM of Numerators as per given numbers 11/34, 726/46, 801/232 is

LCM of Numerators i.e. for 11,726,801 is 193842

GCF of denominators i.e. for 34,46,232 is 2.

Thus, LCM of Fractions is 96921.Finally, LCM of Fractions for 11/34, 726/46, 801/232 is 96921.