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LCM of 841, 822, 664, 411, 720

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


Find the LCM of 841, 822, 664, 411, 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 841, 822, 664, 411, 720. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,822,664,411,720

Given numbers are 841,822,664,411,720

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

The LCM of 841,822,664,411,720 is 6885367920.

Find LCM of 841,822,664,411,720 with Prime Factorization


2 841, 822, 664, 411, 720
2 841, 411, 332, 411, 360
2 841, 411, 166, 411, 180
3 841, 411, 83, 411, 90
137 841, 137, 83, 137, 30
841, 1, 83, 1, 30

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

2 x 2 x 2 x 3 x 137 x 841 x 1 x 83 x 1 x 30 = 6885367920

Therefore, the lowest common multiple of 841,822,664,411,720 is 6885367920.

LCM Formula to Find Lowest Common Multiple of 841,822,664,411,720

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.

841 x 822 x 664 x 411 x 720 = 135834538325760

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.

841 : 1, 29, 841

822 : 1, 2, 3, 6, 137, 274, 411, 822

664 : 1, 2, 4, 8, 83, 166, 332, 664

411 : 1, 3, 137, 411

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 841,822,664,411,720, is 1.

Now, the common factors can be found like this.

841:29x 29

822:2x 3x 137

664:2x 2x 2x 83

411:3x 137

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 3x 3x 137 = 19728

Therefore, the value for common factors is 19728.

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 = 135834538325760/(1x19728)

LCM = 135834538325760/19728

LCM = 6885367920

Thus, we can understand that the LCM of 841,822,664,411,720 is 6885367920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 822, 664, 411, 720

1. What is the LCM of 841, 822, 664, 411, 720?

Answer: LCM of 841, 822, 664, 411, 720 is 6885367920.

2. How to calculate the LCM of 841, 822, 664, 411, 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 841, 822, 664, 411, 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}.