Least Common Multiple of 59/814, 343/592, 385/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/814, 343/592, 385/144 quickly i.e. 1113035/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/814, 343/592, 385/144 is 1113035/2.

LCM(59/814, 343/592, 385/144) = 1113035/2

LCM of 59/814, 343/592, 385/144

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 59/814,343/592,385/144

Given numbers are 59/814,343/592,385/144

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 59,343,385

Least Common Multiple of Numerators i.e. LCM of 59,343,385 is 1113035.

GCF of Denominators means GCF of 814,592,144 as per the given fractions.

GCF of 814,592,144 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,343,385

LCM of Fractions 59/814,343/592,385/144 is 1113035/2

7 59, 343, 385
59, 49, 55

∴ So the LCM of the given numbers is 7 x 59 x 49 x 55 = 1113035

Least Common Multiple of 59,343,385 with GCF Formula

Least Common Multiple of 59,343,385 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 59,343,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,343,385) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(59,343,385) x common factors =1 x 7 = 7

LCM(59,343,385) = ( 59 × 343 × 385 ) / 7

LCM(59,343,385) = 7791245 / 7

LCM(59,343,385) = 1113035


Lets's calculate GCF of 814,592,144

2 814, 592, 144
407, 296, 72

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1113035/2

Therefore the LCM of Fractions 59/814,343/592,385/144 is 1113035/2

Greatest Common Factor of 814,592,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,592,144 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 814,592,144 . The biggest common factor number is the GCF number.
So the greatest common factor 814,592,144 is 2.


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 59/814, 343/592, 385/144

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 59/814, 343/592, 385/144?

Answer: LCM of Numerators as per given numbers 59/814, 343/592, 385/144 is

LCM of Numerators i.e. for 59,343,385 is 1113035

GCF of denominators i.e. for 814,592,144 is 2.

Thus, LCM of Fractions is 1113035/2.Finally, LCM of Fractions for 59/814, 343/592, 385/144 is 1113035/2.