Least Common Multiple of 55/490, 582/589, 856/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/490, 582/589, 856/506 quickly i.e. 13700280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/490, 582/589, 856/506 is 13700280.

LCM(55/490, 582/589, 856/506) = 13700280

LCM of 55/490, 582/589, 856/506

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 55/490,582/589,856/506

Given numbers are 55/490,582/589,856/506

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 55,582,856

Least Common Multiple of Numerators i.e. LCM of 55,582,856 is 13700280.

GCF of Denominators means GCF of 490,589,506 as per the given fractions.

GCF of 490,589,506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,582,856

LCM of Fractions 55/490,582/589,856/506 is 13700280

2 55, 582, 856
55, 291, 428

∴ So the LCM of the given numbers is 2 x 55 x 291 x 428 = 13700280

Least Common Multiple of 55,582,856 with GCF Formula

Least Common Multiple of 55,582,856 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 55,582,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,582,856) = 1

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

GCF(55,582,856) x common factors =1 x 2 = 2

LCM(55,582,856) = ( 55 × 582 × 856 ) / 2

LCM(55,582,856) = 27400560 / 2

LCM(55,582,856) = 13700280


Lets's calculate GCF of 490,589,506

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13700280/1

Therefore the LCM of Fractions 55/490,582/589,856/506 is 13700280

Greatest Common Factor of 490,589,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,589,506 By Matching Biggest Common Factor Method

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 490,589,506 . The biggest common factor number is the GCF number.
So the greatest common factor 490,589,506 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 55/490, 582/589, 856/506

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 55/490, 582/589, 856/506?

Answer: LCM of Numerators as per given numbers 55/490, 582/589, 856/506 is

LCM of Numerators i.e. for 55,582,856 is 13700280

GCF of denominators i.e. for 490,589,506 is 1.

Thus, LCM of Fractions is 13700280.Finally, LCM of Fractions for 55/490, 582/589, 856/506 is 13700280.