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LCM of 216, 565, 300, 445

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


Find the LCM of 216, 565, 300, 445 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 216, 565, 300, 445. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 216,565,300,445

Given numbers are 216,565,300,445

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

The LCM of 216,565,300,445 is 54307800.

Find LCM of 216,565,300,445 with Prime Factorization


2 216, 565, 300, 445
2 108, 565, 150, 445
3 54, 565, 75, 445
5 18, 565, 25, 445
18, 113, 5, 89

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

2 x 2 x 3 x 5 x 18 x 113 x 5 x 89 = 54307800

Therefore, the lowest common multiple of 216,565,300,445 is 54307800.

LCM Formula to Find Lowest Common Multiple of 216,565,300,445

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.

216 x 565 x 300 x 445 = 16292340000

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

565 : 1, 5, 113, 565

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,565,300,445, is 1.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

565:5x 113

300:2x 2x 3x 5x 5

445:5x 89

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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 16292340000/(1x300)

LCM = 16292340000/300

LCM = 54307800

Thus, we can understand that the LCM of 216,565,300,445 is 54307800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 216, 565, 300, 445

1. What is the LCM of 216, 565, 300, 445?

Answer: LCM of 216, 565, 300, 445 is 54307800.

2. How to calculate the LCM of 216, 565, 300, 445?

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 216, 565, 300, 445.

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}.