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LCM of 221, 399, 472, 782

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


Find the LCM of 221, 399, 472, 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 221, 399, 472, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,399,472,782

Given numbers are 221,399,472,782

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

The LCM of 221,399,472,782 is 957271224.

Find LCM of 221,399,472,782 with Prime Factorization


2 221, 399, 472, 782
17 221, 399, 236, 391
13, 399, 236, 23

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

2 x 17 x 13 x 399 x 236 x 23 = 957271224

Therefore, the lowest common multiple of 221,399,472,782 is 957271224.

LCM Formula to Find Lowest Common Multiple of 221,399,472,782

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.

221 x 399 x 472 x 782 = 32547221616

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.

221 : 1, 13, 17, 221

399 : 1, 3, 7, 19, 21, 57, 133, 399

472 : 1, 2, 4, 8, 59, 118, 236, 472

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 221,399,472,782, is 1.

Now, the common factors can be found like this.

221:13x 17

399:3x 7x 19

472:2x 2x 2x 59

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.

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 32547221616/(1x34)

LCM = 32547221616/34

LCM = 957271224

Thus, we can understand that the LCM of 221,399,472,782 is 957271224.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 399, 472, 782

1. What is the LCM of 221, 399, 472, 782?

Answer: LCM of 221, 399, 472, 782 is 957271224.

2. How to calculate the LCM of 221, 399, 472, 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 221, 399, 472, 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}.