Least Common Multiple of 33/861, 73/719, 288/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/861, 73/719, 288/315 quickly i.e. 231264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/861, 73/719, 288/315 is 231264.

LCM(33/861, 73/719, 288/315) = 231264

LCM of 33/861, 73/719, 288/315

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 33/861,73/719,288/315

Given numbers are 33/861,73/719,288/315

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 33,73,288

Least Common Multiple of Numerators i.e. LCM of 33,73,288 is 231264.

GCF of Denominators means GCF of 861,719,315 as per the given fractions.

GCF of 861,719,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,73,288

LCM of Fractions 33/861,73/719,288/315 is 231264

3 33, 73, 288
11, 73, 96

∴ So the LCM of the given numbers is 3 x 11 x 73 x 96 = 231264

Least Common Multiple of 33,73,288 with GCF Formula

Least Common Multiple of 33,73,288 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 33,73,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,73,288) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,73,288) x common factors =1 x 3 = 3

LCM(33,73,288) = ( 33 × 73 × 288 ) / 3

LCM(33,73,288) = 693792 / 3

LCM(33,73,288) = 231264


Lets's calculate GCF of 861,719,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 231264/1

Therefore the LCM of Fractions 33/861,73/719,288/315 is 231264

Greatest Common Factor of 861,719,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 861,719,315 By Matching Biggest Common Factor Method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 861,719,315 . The biggest common factor number is the GCF number.
So the greatest common factor 861,719,315 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 33/861, 73/719, 288/315

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 33/861, 73/719, 288/315?

Answer: LCM of Numerators as per given numbers 33/861, 73/719, 288/315 is

LCM of Numerators i.e. for 33,73,288 is 231264

GCF of denominators i.e. for 861,719,315 is 1.

Thus, LCM of Fractions is 231264.Finally, LCM of Fractions for 33/861, 73/719, 288/315 is 231264.