Least Common Multiple of 38/555, 40/282, 655/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/555, 40/282, 655/837 quickly i.e. 99560/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/555, 40/282, 655/837 is 99560/3.

LCM(38/555, 40/282, 655/837) = 99560/3

LCM of 38/555, 40/282, 655/837

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 38/555,40/282,655/837

Given numbers are 38/555,40/282,655/837

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 38,40,655

Least Common Multiple of Numerators i.e. LCM of 38,40,655 is 99560.

GCF of Denominators means GCF of 555,282,837 as per the given fractions.

GCF of 555,282,837 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,40,655

LCM of Fractions 38/555,40/282,655/837 is 99560/3

2 38, 40, 655
5 19, 20, 655
19, 4, 131

∴ So the LCM of the given numbers is 2 x 5 x 19 x 4 x 131 = 99560

Least Common Multiple of 38,40,655 with GCF Formula

Least Common Multiple of 38,40,655 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 38,40,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,40,655) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(38,40,655) x common factors =1 x 10 = 10

LCM(38,40,655) = ( 38 × 40 × 655 ) / 10

LCM(38,40,655) = 995600 / 10

LCM(38,40,655) = 99560


Lets's calculate GCF of 555,282,837

3 555, 282, 837
185, 94, 279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99560/3

Therefore the LCM of Fractions 38/555,40/282,655/837 is 99560/3

Greatest Common Factor of 555,282,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,282,837 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 555,282,837 . The biggest common factor number is the GCF number.
So the greatest common factor 555,282,837 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 38/555, 40/282, 655/837

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 38/555, 40/282, 655/837?

Answer: LCM of Numerators as per given numbers 38/555, 40/282, 655/837 is

LCM of Numerators i.e. for 38,40,655 is 99560

GCF of denominators i.e. for 555,282,837 is 3.

Thus, LCM of Fractions is 99560/3.Finally, LCM of Fractions for 38/555, 40/282, 655/837 is 99560/3.