Least Common Multiple of 38/693, 54/558, 612/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/693, 54/558, 612/486 quickly i.e. 3876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/693, 54/558, 612/486 is 3876.

LCM(38/693, 54/558, 612/486) = 3876

LCM of 38/693, 54/558, 612/486

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 38/693,54/558,612/486

Given numbers are 38/693,54/558,612/486

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 38,54,612

Least Common Multiple of Numerators i.e. LCM of 38,54,612 is 34884.

GCF of Denominators means GCF of 693,558,486 as per the given fractions.

GCF of 693,558,486 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,54,612

LCM of Fractions 38/693,54/558,612/486 is 3876

2 38, 54, 612
3 19, 27, 306
3 19, 9, 102
19, 3, 34

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 3 x 34 = 34884

Least Common Multiple of 38,54,612 with GCF Formula

Least Common Multiple of 38,54,612 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 38,54,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,54,612) = 2

common factors(in case of two or more numbers have common factors) = 18

GCF(38,54,612) x common factors =2 x 18 = 36

LCM(38,54,612) = ( 38 × 54 × 612 ) / 36

LCM(38,54,612) = 1255824 / 36

LCM(38,54,612) = 34884


Lets's calculate GCF of 693,558,486

3 693, 558, 486
3 231, 186, 162
77, 62, 54

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34884/9

Therefore the LCM of Fractions 38/693,54/558,612/486 is 3876

Greatest Common Factor of 693,558,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,558,486 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 693,558,486 . The biggest common factor number is the GCF number.
So the greatest common factor 693,558,486 is 9.


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 38/693, 54/558, 612/486

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 38/693, 54/558, 612/486?

Answer: LCM of Numerators as per given numbers 38/693, 54/558, 612/486 is

LCM of Numerators i.e. for 38,54,612 is 34884

GCF of denominators i.e. for 693,558,486 is 9.

Thus, LCM of Fractions is 3876.Finally, LCM of Fractions for 38/693, 54/558, 612/486 is 3876.