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LCM of 659, 354, 849, 360

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 659, 354, 849, 360 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 659, 354, 849, 360. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 659,354,849,360

Given numbers are 659,354,849,360

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 659,354,849,360 is 3961196280.

Find LCM of 659,354,849,360 with Prime Factorization


2 659, 354, 849, 360
3 659, 177, 849, 180
659, 59, 283, 60

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 659 x 59 x 283 x 60 = 3961196280

Therefore, the lowest common multiple of 659,354,849,360 is 3961196280.

LCM Formula to Find Lowest Common Multiple of 659,354,849,360

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

659 x 354 x 849 x 360 = 71301533040

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

659 : 1, 659

354 : 1, 2, 3, 6, 59, 118, 177, 354

849 : 1, 3, 283, 849

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,354,849,360, is 1.

Now, the common factors can be found like this.

659:659

354:2x 3x 59

849:3x 283

360:2x 2x 2x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 71301533040/(1x18)

LCM = 71301533040/18

LCM = 3961196280

Thus, we can understand that the LCM of 659,354,849,360 is 3961196280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 659, 354, 849, 360

1. What is the LCM of 659, 354, 849, 360?

Answer: LCM of 659, 354, 849, 360 is 3961196280.

2. How to calculate the LCM of 659, 354, 849, 360?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 659, 354, 849, 360.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.