Least Common Multiple of 33/708, 93/225, 971/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/708, 93/225, 971/100 quickly i.e. 993333 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/708, 93/225, 971/100 is 993333.

LCM(33/708, 93/225, 971/100) = 993333

LCM of 33/708, 93/225, 971/100

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 33/708,93/225,971/100

Given numbers are 33/708,93/225,971/100

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 33,93,971

Least Common Multiple of Numerators i.e. LCM of 33,93,971 is 993333.

GCF of Denominators means GCF of 708,225,100 as per the given fractions.

GCF of 708,225,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,93,971

LCM of Fractions 33/708,93/225,971/100 is 993333

3 33, 93, 971
11, 31, 971

∴ So the LCM of the given numbers is 3 x 11 x 31 x 971 = 993333

Least Common Multiple of 33,93,971 with GCF Formula

Least Common Multiple of 33,93,971 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 33,93,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,93,971) = 1

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

GCF(33,93,971) x common factors =1 x 3 = 3

LCM(33,93,971) = ( 33 × 93 × 971 ) / 3

LCM(33,93,971) = 2979999 / 3

LCM(33,93,971) = 993333


Lets's calculate GCF of 708,225,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 993333/1

Therefore the LCM of Fractions 33/708,93/225,971/100 is 993333

Greatest Common Factor of 708,225,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,225,100 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 708,225,100 . The biggest common factor number is the GCF number.
So the greatest common factor 708,225,100 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 33/708, 93/225, 971/100

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 33/708, 93/225, 971/100?

Answer: LCM of Numerators as per given numbers 33/708, 93/225, 971/100 is

LCM of Numerators i.e. for 33,93,971 is 993333

GCF of denominators i.e. for 708,225,100 is 1.

Thus, LCM of Fractions is 993333.Finally, LCM of Fractions for 33/708, 93/225, 971/100 is 993333.