Least Common Multiple of 38/585, 88/928, 902/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/585, 88/928, 902/602 quickly i.e. 68552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/585, 88/928, 902/602 is 68552.

LCM(38/585, 88/928, 902/602) = 68552

LCM of 38/585, 88/928, 902/602

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 38/585,88/928,902/602

Given numbers are 38/585,88/928,902/602

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 38,88,902

Least Common Multiple of Numerators i.e. LCM of 38,88,902 is 68552.

GCF of Denominators means GCF of 585,928,602 as per the given fractions.

GCF of 585,928,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,88,902

LCM of Fractions 38/585,88/928,902/602 is 68552

2 38, 88, 902
11 19, 44, 451
19, 4, 41

∴ So the LCM of the given numbers is 2 x 11 x 19 x 4 x 41 = 68552

Least Common Multiple of 38,88,902 with GCF Formula

Least Common Multiple of 38,88,902 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 38,88,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,88,902) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(38,88,902) x common factors =2 x 22 = 44

LCM(38,88,902) = ( 38 × 88 × 902 ) / 44

LCM(38,88,902) = 3016288 / 44

LCM(38,88,902) = 68552


Lets's calculate GCF of 585,928,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68552/1

Therefore the LCM of Fractions 38/585,88/928,902/602 is 68552

Greatest Common Factor of 585,928,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,928,602 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 585,928,602 . The biggest common factor number is the GCF number.
So the greatest common factor 585,928,602 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 38/585, 88/928, 902/602

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 38/585, 88/928, 902/602?

Answer: LCM of Numerators as per given numbers 38/585, 88/928, 902/602 is

LCM of Numerators i.e. for 38,88,902 is 68552

GCF of denominators i.e. for 585,928,602 is 1.

Thus, LCM of Fractions is 68552.Finally, LCM of Fractions for 38/585, 88/928, 902/602 is 68552.