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LCM of 720, 382, 907, 784, 720

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


Find the LCM of 720, 382, 907, 784, 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 720, 382, 907, 784, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,382,907,784,720

Given numbers are 720,382,907,784,720

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

The LCM of 720,382,907,784,720 is 6111801360.

Find LCM of 720,382,907,784,720 with Prime Factorization


2 720, 382, 907, 784, 720
2 360, 191, 907, 392, 360
2 180, 191, 907, 196, 180
2 90, 191, 907, 98, 90
3 45, 191, 907, 49, 45
3 15, 191, 907, 49, 15
5 5, 191, 907, 49, 5
1, 191, 907, 49, 1

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 1 x 191 x 907 x 49 x 1 = 6111801360

Therefore, the lowest common multiple of 720,382,907,784,720 is 6111801360.

LCM Formula to Find Lowest Common Multiple of 720,382,907,784,720

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.

720 x 382 x 907 x 784 x 720 = 140815903334400

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.

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

382 : 1, 2, 191, 382

907 : 1, 907

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 720,382,907,784,720, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

382:2x 191

907:907

784:2x 2x 2x 2x 7x 7

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 2x 2x 2x 2x 2x 2x 3x 3x 5 = 23040

Therefore, the value for common factors is 23040.

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 = 140815903334400/(1x23040)

LCM = 140815903334400/23040

LCM = 6111801360

Thus, we can understand that the LCM of 720,382,907,784,720 is 6111801360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 382, 907, 784, 720

1. What is the LCM of 720, 382, 907, 784, 720?

Answer: LCM of 720, 382, 907, 784, 720 is 6111801360.

2. How to calculate the LCM of 720, 382, 907, 784, 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 720, 382, 907, 784, 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}.