Least Common Multiple of 59/285, 990/449, 338/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/285, 990/449, 338/157 quickly i.e. 9871290 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/285, 990/449, 338/157 is 9871290.

LCM(59/285, 990/449, 338/157) = 9871290

LCM of 59/285, 990/449, 338/157

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 59/285,990/449,338/157

Given numbers are 59/285,990/449,338/157

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 59,990,338

Least Common Multiple of Numerators i.e. LCM of 59,990,338 is 9871290.

GCF of Denominators means GCF of 285,449,157 as per the given fractions.

GCF of 285,449,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,990,338

LCM of Fractions 59/285,990/449,338/157 is 9871290

2 59, 990, 338
59, 495, 169

∴ So the LCM of the given numbers is 2 x 59 x 495 x 169 = 9871290

Least Common Multiple of 59,990,338 with GCF Formula

Least Common Multiple of 59,990,338 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 59,990,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,990,338) = 1

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

GCF(59,990,338) x common factors =1 x 2 = 2

LCM(59,990,338) = ( 59 × 990 × 338 ) / 2

LCM(59,990,338) = 19742580 / 2

LCM(59,990,338) = 9871290


Lets's calculate GCF of 285,449,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9871290/1

Therefore the LCM of Fractions 59/285,990/449,338/157 is 9871290

Greatest Common Factor of 285,449,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 285,449,157 By Matching Biggest Common Factor Method

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 285,449,157 . The biggest common factor number is the GCF number.
So the greatest common factor 285,449,157 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 59/285, 990/449, 338/157

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 59/285, 990/449, 338/157?

Answer: LCM of Numerators as per given numbers 59/285, 990/449, 338/157 is

LCM of Numerators i.e. for 59,990,338 is 9871290

GCF of denominators i.e. for 285,449,157 is 1.

Thus, LCM of Fractions is 9871290.Finally, LCM of Fractions for 59/285, 990/449, 338/157 is 9871290.