Least Common Multiple of 93/361, 38/500, 149/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/361, 38/500, 149/828 quickly i.e. 526566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/361, 38/500, 149/828 is 526566.

LCM(93/361, 38/500, 149/828) = 526566

LCM of 93/361, 38/500, 149/828

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 93/361,38/500,149/828

Given numbers are 93/361,38/500,149/828

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 93,38,149

Least Common Multiple of Numerators i.e. LCM of 93,38,149 is 526566.

GCF of Denominators means GCF of 361,500,828 as per the given fractions.

GCF of 361,500,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,38,149

LCM of Fractions 93/361,38/500,149/828 is 526566

Given numbers has no common factors except 1. So, there LCM is their product i.e 526566

Least Common Multiple of 93,38,149 with GCF Formula

Least Common Multiple of 93,38,149 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 93,38,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,38,149) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(93,38,149) x common factors =1 x 1 = 1

LCM(93,38,149) = ( 93 × 38 × 149 ) / 1

LCM(93,38,149) = 526566 / 1

LCM(93,38,149) = 526566


Lets's calculate GCF of 361,500,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526566/1

Therefore the LCM of Fractions 93/361,38/500,149/828 is 526566

Greatest Common Factor of 361,500,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,500,828 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 361,500,828 . The biggest common factor number is the GCF number.
So the greatest common factor 361,500,828 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 93/361, 38/500, 149/828

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 93/361, 38/500, 149/828?

Answer: LCM of Numerators as per given numbers 93/361, 38/500, 149/828 is

LCM of Numerators i.e. for 93,38,149 is 526566

GCF of denominators i.e. for 361,500,828 is 1.

Thus, LCM of Fractions is 526566.Finally, LCM of Fractions for 93/361, 38/500, 149/828 is 526566.