Least Common Multiple of 33/96, 430/94, 561/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/96, 430/94, 561/983 quickly i.e. 241230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/96, 430/94, 561/983 is 241230.

LCM(33/96, 430/94, 561/983) = 241230

LCM of 33/96, 430/94, 561/983

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 33/96,430/94,561/983

Given numbers are 33/96,430/94,561/983

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 33,430,561

Least Common Multiple of Numerators i.e. LCM of 33,430,561 is 241230.

GCF of Denominators means GCF of 96,94,983 as per the given fractions.

GCF of 96,94,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,430,561

LCM of Fractions 33/96,430/94,561/983 is 241230

3 33, 430, 561
11 11, 430, 187
1, 430, 17

∴ So the LCM of the given numbers is 3 x 11 x 1 x 430 x 17 = 241230

Least Common Multiple of 33,430,561 with GCF Formula

Least Common Multiple of 33,430,561 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 33,430,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,430,561) = 1

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

GCF(33,430,561) x common factors =1 x 33 = 33

LCM(33,430,561) = ( 33 × 430 × 561 ) / 33

LCM(33,430,561) = 7960590 / 33

LCM(33,430,561) = 241230


Lets's calculate GCF of 96,94,983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241230/1

Therefore the LCM of Fractions 33/96,430/94,561/983 is 241230

Greatest Common Factor of 96,94,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,94,983 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 96,94,983 . The biggest common factor number is the GCF number.
So the greatest common factor 96,94,983 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 33/96, 430/94, 561/983

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 33/96, 430/94, 561/983?

Answer: LCM of Numerators as per given numbers 33/96, 430/94, 561/983 is

LCM of Numerators i.e. for 33,430,561 is 241230

GCF of denominators i.e. for 96,94,983 is 1.

Thus, LCM of Fractions is 241230.Finally, LCM of Fractions for 33/96, 430/94, 561/983 is 241230.