Least Common Multiple of 854/493, 576/402, 550/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 854/493, 576/402, 550/586 quickly i.e. 67636800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 854/493, 576/402, 550/586 is 67636800.

LCM(854/493, 576/402, 550/586) = 67636800

LCM of 854/493, 576/402, 550/586

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 854/493,576/402,550/586

Given numbers are 854/493,576/402,550/586

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 854,576,550

Least Common Multiple of Numerators i.e. LCM of 854,576,550 is 67636800.

GCF of Denominators means GCF of 493,402,586 as per the given fractions.

GCF of 493,402,586 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 854,576,550

LCM of Fractions 854/493,576/402,550/586 is 67636800

2 854, 576, 550
427, 288, 275

∴ So the LCM of the given numbers is 2 x 427 x 288 x 275 = 67636800

Least Common Multiple of 854,576,550 with GCF Formula

Least Common Multiple of 854,576,550 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 854,576,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,576,550) = 2

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

GCF(854,576,550) x common factors =2 x 2 = 4

LCM(854,576,550) = ( 854 × 576 × 550 ) / 4

LCM(854,576,550) = 270547200 / 4

LCM(854,576,550) = 67636800


Lets's calculate GCF of 493,402,586

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67636800/1

Therefore the LCM of Fractions 854/493,576/402,550/586 is 67636800

Greatest Common Factor of 493,402,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,402,586 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 493,402,586 . The biggest common factor number is the GCF number.
So the greatest common factor 493,402,586 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 854/493, 576/402, 550/586

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 854/493, 576/402, 550/586?

Answer: LCM of Numerators as per given numbers 854/493, 576/402, 550/586 is

LCM of Numerators i.e. for 854,576,550 is 67636800

GCF of denominators i.e. for 493,402,586 is 1.

Thus, LCM of Fractions is 67636800.Finally, LCM of Fractions for 854/493, 576/402, 550/586 is 67636800.