Least Common Multiple of 23/30, 54/433, 741/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/30, 54/433, 741/634 quickly i.e. 306774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/30, 54/433, 741/634 is 306774.

LCM(23/30, 54/433, 741/634) = 306774

LCM of 23/30, 54/433, 741/634

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 23/30,54/433,741/634

Given numbers are 23/30,54/433,741/634

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 23,54,741

Least Common Multiple of Numerators i.e. LCM of 23,54,741 is 306774.

GCF of Denominators means GCF of 30,433,634 as per the given fractions.

GCF of 30,433,634 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,54,741

LCM of Fractions 23/30,54/433,741/634 is 306774

3 23, 54, 741
23, 18, 247

∴ So the LCM of the given numbers is 3 x 23 x 18 x 247 = 306774

Least Common Multiple of 23,54,741 with GCF Formula

Least Common Multiple of 23,54,741 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 23,54,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,54,741) = 1

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

GCF(23,54,741) x common factors =1 x 3 = 3

LCM(23,54,741) = ( 23 × 54 × 741 ) / 3

LCM(23,54,741) = 920322 / 3

LCM(23,54,741) = 306774


Lets's calculate GCF of 30,433,634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306774/1

Therefore the LCM of Fractions 23/30,54/433,741/634 is 306774

Greatest Common Factor of 30,433,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,433,634 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

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 30,433,634 . The biggest common factor number is the GCF number.
So the greatest common factor 30,433,634 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 23/30, 54/433, 741/634

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 23/30, 54/433, 741/634?

Answer: LCM of Numerators as per given numbers 23/30, 54/433, 741/634 is

LCM of Numerators i.e. for 23,54,741 is 306774

GCF of denominators i.e. for 30,433,634 is 1.

Thus, LCM of Fractions is 306774.Finally, LCM of Fractions for 23/30, 54/433, 741/634 is 306774.