Least Common Multiple of 33/968, 90/313, 275/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/968, 90/313, 275/449 quickly i.e. 4950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/968, 90/313, 275/449 is 4950.

LCM(33/968, 90/313, 275/449) = 4950

LCM of 33/968, 90/313, 275/449

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 33/968,90/313,275/449

Given numbers are 33/968,90/313,275/449

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 33,90,275

Least Common Multiple of Numerators i.e. LCM of 33,90,275 is 4950.

GCF of Denominators means GCF of 968,313,449 as per the given fractions.

GCF of 968,313,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,90,275

LCM of Fractions 33/968,90/313,275/449 is 4950

3 33, 90, 275
5 11, 30, 275
11 11, 6, 55
1, 6, 5

∴ So the LCM of the given numbers is 3 x 5 x 11 x 1 x 6 x 5 = 4950

Least Common Multiple of 33,90,275 with GCF Formula

Least Common Multiple of 33,90,275 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 33,90,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,90,275) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(33,90,275) x common factors =1 x 165 = 165

LCM(33,90,275) = ( 33 × 90 × 275 ) / 165

LCM(33,90,275) = 816750 / 165

LCM(33,90,275) = 4950


Lets's calculate GCF of 968,313,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4950/1

Therefore the LCM of Fractions 33/968,90/313,275/449 is 4950

Greatest Common Factor of 968,313,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,313,449 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 968,313,449 . The biggest common factor number is the GCF number.
So the greatest common factor 968,313,449 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 33/968, 90/313, 275/449

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 33/968, 90/313, 275/449?

Answer: LCM of Numerators as per given numbers 33/968, 90/313, 275/449 is

LCM of Numerators i.e. for 33,90,275 is 4950

GCF of denominators i.e. for 968,313,449 is 1.

Thus, LCM of Fractions is 4950.Finally, LCM of Fractions for 33/968, 90/313, 275/449 is 4950.