Least Common Multiple of 33/914, 473/794, 188/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/914, 473/794, 188/358 quickly i.e. 133386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/914, 473/794, 188/358 is 133386.

LCM(33/914, 473/794, 188/358) = 133386

LCM of 33/914, 473/794, 188/358

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 33/914,473/794,188/358

Given numbers are 33/914,473/794,188/358

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 33,473,188

Least Common Multiple of Numerators i.e. LCM of 33,473,188 is 266772.

GCF of Denominators means GCF of 914,794,358 as per the given fractions.

GCF of 914,794,358 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,473,188

LCM of Fractions 33/914,473/794,188/358 is 133386

11 33, 473, 188
3, 43, 188

∴ So the LCM of the given numbers is 11 x 3 x 43 x 188 = 266772

Least Common Multiple of 33,473,188 with GCF Formula

Least Common Multiple of 33,473,188 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 33,473,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,473,188) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(33,473,188) x common factors =1 x 11 = 11

LCM(33,473,188) = ( 33 × 473 × 188 ) / 11

LCM(33,473,188) = 2934492 / 11

LCM(33,473,188) = 266772


Lets's calculate GCF of 914,794,358

2 914, 794, 358
457, 397, 179

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266772/2

Therefore the LCM of Fractions 33/914,473/794,188/358 is 133386

Greatest Common Factor of 914,794,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 914,794,358 By Matching Biggest Common Factor Method

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 914,794,358 . The biggest common factor number is the GCF number.
So the greatest common factor 914,794,358 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 33/914, 473/794, 188/358

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 33/914, 473/794, 188/358?

Answer: LCM of Numerators as per given numbers 33/914, 473/794, 188/358 is

LCM of Numerators i.e. for 33,473,188 is 266772

GCF of denominators i.e. for 914,794,358 is 2.

Thus, LCM of Fractions is 133386.Finally, LCM of Fractions for 33/914, 473/794, 188/358 is 133386.