Least Common Multiple of 38/228, 72/573, 545/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/228, 72/573, 545/963 quickly i.e. 248520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/228, 72/573, 545/963 is 248520.

LCM(38/228, 72/573, 545/963) = 248520

LCM of 38/228, 72/573, 545/963

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 38/228,72/573,545/963

Given numbers are 38/228,72/573,545/963

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 38,72,545

Least Common Multiple of Numerators i.e. LCM of 38,72,545 is 745560.

GCF of Denominators means GCF of 228,573,963 as per the given fractions.

GCF of 228,573,963 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,72,545

LCM of Fractions 38/228,72/573,545/963 is 248520

2 38, 72, 545
19, 36, 545

∴ So the LCM of the given numbers is 2 x 19 x 36 x 545 = 745560

Least Common Multiple of 38,72,545 with GCF Formula

Least Common Multiple of 38,72,545 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 38,72,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,72,545) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,72,545) x common factors =1 x 2 = 2

LCM(38,72,545) = ( 38 × 72 × 545 ) / 2

LCM(38,72,545) = 1491120 / 2

LCM(38,72,545) = 745560


Lets's calculate GCF of 228,573,963

3 228, 573, 963
76, 191, 321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745560/3

Therefore the LCM of Fractions 38/228,72/573,545/963 is 248520

Greatest Common Factor of 228,573,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,573,963 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 228,573,963 . The biggest common factor number is the GCF number.
So the greatest common factor 228,573,963 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 38/228, 72/573, 545/963

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 38/228, 72/573, 545/963?

Answer: LCM of Numerators as per given numbers 38/228, 72/573, 545/963 is

LCM of Numerators i.e. for 38,72,545 is 745560

GCF of denominators i.e. for 228,573,963 is 3.

Thus, LCM of Fractions is 248520.Finally, LCM of Fractions for 38/228, 72/573, 545/963 is 248520.