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LCM of 917, 353, 325, 408, 822

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


Find the LCM of 917, 353, 325, 408, 822 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 917, 353, 325, 408, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 917,353,325,408,822

Given numbers are 917,353,325,408,822

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

The LCM of 917,353,325,408,822 is 5880417106200.

Find LCM of 917,353,325,408,822 with Prime Factorization


2 917, 353, 325, 408, 822
3 917, 353, 325, 204, 411
917, 353, 325, 68, 137

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

2 x 3 x 917 x 353 x 325 x 68 x 137 = 5880417106200

Therefore, the lowest common multiple of 917,353,325,408,822 is 5880417106200.

LCM Formula to Find Lowest Common Multiple of 917,353,325,408,822

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.

917 x 353 x 325 x 408 x 822 = 35282502637200

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.

917 : 1, 7, 131, 917

353 : 1, 353

325 : 1, 5, 13, 25, 65, 325

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,353,325,408,822, is 1.

Now, the common factors can be found like this.

917:7x 131

353:353

325:5x 5x 13

408:2x 2x 2x 3x 17

822:2x 3x 137

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 35282502637200/(1x6)

LCM = 35282502637200/6

LCM = 5880417106200

Thus, we can understand that the LCM of 917,353,325,408,822 is 5880417106200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 917, 353, 325, 408, 822

1. What is the LCM of 917, 353, 325, 408, 822?

Answer: LCM of 917, 353, 325, 408, 822 is 5880417106200.

2. How to calculate the LCM of 917, 353, 325, 408, 822?

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 917, 353, 325, 408, 822.

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}.