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LCM of 345, 221, 600, 720

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


Find the LCM of 345, 221, 600, 720 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 345, 221, 600, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 345,221,600,720

Given numbers are 345,221,600,720

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

The LCM of 345,221,600,720 is 18298800.

Find LCM of 345,221,600,720 with Prime Factorization


2 345, 221, 600, 720
2 345, 221, 300, 360
2 345, 221, 150, 180
3 345, 221, 75, 90
5 115, 221, 25, 30
23, 221, 5, 6

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

2 x 2 x 2 x 3 x 5 x 23 x 221 x 5 x 6 = 18298800

Therefore, the lowest common multiple of 345,221,600,720 is 18298800.

LCM Formula to Find Lowest Common Multiple of 345,221,600,720

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.

345 x 221 x 600 x 720 = 32937840000

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

221 : 1, 13, 17, 221

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,221,600,720, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

221:13x 17

600:2x 2x 2x 3x 5x 5

720:2x 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 2x 2x 3x 3x 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 32937840000/(1x1800)

LCM = 32937840000/1800

LCM = 18298800

Thus, we can understand that the LCM of 345,221,600,720 is 18298800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 345, 221, 600, 720

1. What is the LCM of 345, 221, 600, 720?

Answer: LCM of 345, 221, 600, 720 is 18298800.

2. How to calculate the LCM of 345, 221, 600, 720?

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 345, 221, 600, 720.

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}.