Least Common Multiple of 490/736, 9284/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 490/736, 9284/588 quickly i.e. 568645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 490/736, 9284/588 is 568645.

LCM(490/736, 9284/588) = 568645

LCM of 490/736, 9284/588

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 490/736,9284/588

Given numbers are 490/736,9284/588

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 490,9284

Least Common Multiple of Numerators i.e. LCM of 490,9284 is 2274580.

GCF of Denominators means GCF of 736,588 as per the given fractions.

GCF of 736,588 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 490,9284

LCM of Fractions 490/736,9284/588 is 568645

2 490, 9284
245, 4642

∴ So the LCM of the given numbers is 2 x 245 x 4642 = 2274580

Least Common Multiple of 490,9284 with GCF Formula

Least Common Multiple of 490,9284 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 490,9284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,9284) = 2

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

GCF(490,9284) x common factors =2 x 1 = 2

LCM(490,9284) = ( 490 × 9284 ) / 2

LCM(490,9284) = 4549160 / 2

LCM(490,9284) = 2274580


Lets's calculate GCF of 736,588

2 736, 588
2 368, 294
184, 147

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2274580/4

Therefore the LCM of Fractions 490/736,9284/588 is 568645

Greatest Common Factor of 736,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,588 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 736,588 . The biggest common factor number is the GCF number.
So the greatest common factor 736,588 is 4.


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 490/736, 9284/588

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 490/736, 9284/588?

Answer: LCM of Numerators as per given numbers 490/736, 9284/588 is

LCM of Numerators i.e. for 490,9284 is 2274580

GCF of denominators i.e. for 736,588 is 4.

Thus, LCM of Fractions is 568645.Finally, LCM of Fractions for 490/736, 9284/588 is 568645.