Least Common Multiple of 920/33, 633/12, 241/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/33, 633/12, 241/177 quickly i.e. 46782920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/33, 633/12, 241/177 is 46782920.

LCM(920/33, 633/12, 241/177) = 46782920

LCM of 920/33, 633/12, 241/177

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 920/33,633/12,241/177

Given numbers are 920/33,633/12,241/177

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 920,633,241

Least Common Multiple of Numerators i.e. LCM of 920,633,241 is 140348760.

GCF of Denominators means GCF of 33,12,177 as per the given fractions.

GCF of 33,12,177 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,633,241

LCM of Fractions 920/33,633/12,241/177 is 46782920

Given numbers has no common factors except 1. So, there LCM is their product i.e 140348760

Least Common Multiple of 920,633,241 with GCF Formula

Least Common Multiple of 920,633,241 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 920,633,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,633,241) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(920,633,241) x common factors =1 x 1 = 1

LCM(920,633,241) = ( 920 × 633 × 241 ) / 1

LCM(920,633,241) = 140348760 / 1

LCM(920,633,241) = 140348760


Lets's calculate GCF of 33,12,177

3 33, 12, 177
11, 4, 59

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140348760/3

Therefore the LCM of Fractions 920/33,633/12,241/177 is 46782920

Greatest Common Factor of 33,12,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,12,177 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 33,12,177 . The biggest common factor number is the GCF number.
So the greatest common factor 33,12,177 is 3.


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 920/33, 633/12, 241/177

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 920/33, 633/12, 241/177?

Answer: LCM of Numerators as per given numbers 920/33, 633/12, 241/177 is

LCM of Numerators i.e. for 920,633,241 is 140348760

GCF of denominators i.e. for 33,12,177 is 3.

Thus, LCM of Fractions is 46782920.Finally, LCM of Fractions for 920/33, 633/12, 241/177 is 46782920.