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LCM of 821, 217, 382, 782

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


Find the LCM of 821, 217, 382, 782 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 821, 217, 382, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,217,382,782

Given numbers are 821,217,382,782

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

The LCM of 821,217,382,782 is 26609885834.

Find LCM of 821,217,382,782 with Prime Factorization


2 821, 217, 382, 782
821, 217, 191, 391

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

2 x 821 x 217 x 191 x 391 = 26609885834

Therefore, the lowest common multiple of 821,217,382,782 is 26609885834.

LCM Formula to Find Lowest Common Multiple of 821,217,382,782

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.

821 x 217 x 382 x 782 = 53219771668

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.

821 : 1, 821

217 : 1, 7, 31, 217

382 : 1, 2, 191, 382

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,217,382,782, is 1.

Now, the common factors can be found like this.

821:821

217:7x 31

382:2x 191

782:2x 17x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 53219771668/(1x2)

LCM = 53219771668/2

LCM = 26609885834

Thus, we can understand that the LCM of 821,217,382,782 is 26609885834.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 217, 382, 782

1. What is the LCM of 821, 217, 382, 782?

Answer: LCM of 821, 217, 382, 782 is 26609885834.

2. How to calculate the LCM of 821, 217, 382, 782?

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 821, 217, 382, 782.

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}.