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LCM of 782, 437, 321, 528, 467

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


Find the LCM of 782, 437, 321, 528, 467 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 782, 437, 321, 528, 467. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 782,437,321,528,467

Given numbers are 782,437,321,528,467

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

The LCM of 782,437,321,528,467 is 196004002128.

Find LCM of 782,437,321,528,467 with Prime Factorization


2 782, 437, 321, 528, 467
3 391, 437, 321, 264, 467
23 391, 437, 107, 88, 467
17, 19, 107, 88, 467

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

2 x 3 x 23 x 17 x 19 x 107 x 88 x 467 = 196004002128

Therefore, the lowest common multiple of 782,437,321,528,467 is 196004002128.

LCM Formula to Find Lowest Common Multiple of 782,437,321,528,467

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.

782 x 437 x 321 x 528 x 467 = 27048552293664

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.

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

437 : 1, 19, 23, 437

321 : 1, 3, 107, 321

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,437,321,528,467, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

437:19x 23

321:3x 107

528:2x 2x 2x 2x 3x 11

467:467

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 27048552293664/(1x138)

LCM = 27048552293664/138

LCM = 196004002128

Thus, we can understand that the LCM of 782,437,321,528,467 is 196004002128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 782, 437, 321, 528, 467

1. What is the LCM of 782, 437, 321, 528, 467?

Answer: LCM of 782, 437, 321, 528, 467 is 196004002128.

2. How to calculate the LCM of 782, 437, 321, 528, 467?

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 782, 437, 321, 528, 467.

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}.