Least Common Multiple of 33/266, 48/100, 354/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/266, 48/100, 354/634 quickly i.e. 15576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/266, 48/100, 354/634 is 15576.

LCM(33/266, 48/100, 354/634) = 15576

LCM of 33/266, 48/100, 354/634

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 33/266,48/100,354/634

Given numbers are 33/266,48/100,354/634

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 33,48,354

Least Common Multiple of Numerators i.e. LCM of 33,48,354 is 31152.

GCF of Denominators means GCF of 266,100,634 as per the given fractions.

GCF of 266,100,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,48,354

LCM of Fractions 33/266,48/100,354/634 is 15576

2 33, 48, 354
3 33, 24, 177
11, 8, 59

∴ So the LCM of the given numbers is 2 x 3 x 11 x 8 x 59 = 31152

Least Common Multiple of 33,48,354 with GCF Formula

Least Common Multiple of 33,48,354 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 33,48,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,48,354) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(33,48,354) x common factors =3 x 6 = 18

LCM(33,48,354) = ( 33 × 48 × 354 ) / 18

LCM(33,48,354) = 560736 / 18

LCM(33,48,354) = 31152


Lets's calculate GCF of 266,100,634

2 266, 100, 634
133, 50, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31152/2

Therefore the LCM of Fractions 33/266,48/100,354/634 is 15576

Greatest Common Factor of 266,100,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,100,634 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

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

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 266,100,634 . The biggest common factor number is the GCF number.
So the greatest common factor 266,100,634 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 33/266, 48/100, 354/634

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 33/266, 48/100, 354/634?

Answer: LCM of Numerators as per given numbers 33/266, 48/100, 354/634 is

LCM of Numerators i.e. for 33,48,354 is 31152

GCF of denominators i.e. for 266,100,634 is 2.

Thus, LCM of Fractions is 15576.Finally, LCM of Fractions for 33/266, 48/100, 354/634 is 15576.