Given numbers are 827,214,575,746,392

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

The LCM of 827,214,575,746,392 is 7439641883800.

Find LCM of 827,214,575,746,392 with Prime Factorization

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

2 x 827 x 107 x 575 x 373 x 196 = 7439641883800

Therefore, the lowest common multiple of 827,214,575,746,392 is 7439641883800.

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.

827 x 214 x 575 x 746 x 392 = 29758567535200

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.

827 : 1, 827

214 : 1, 2, 107, 214

575 : 1, 5, 23, 25, 115, 575

746 : 1, 2, 373, 746

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,214,575,746,392, is 1.

Now, the common factors can be found like this.

827:827

214:2x 107

575:5x 5x 23

746:2x 373

392:2x 2x 2x 7x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 29758567535200/(1x4)

LCM = 29758567535200/4

LCM = 7439641883800

Thus, we can understand that the LCM of 827,214,575,746,392 is 7439641883800.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 680, 142, 973, 610, 247
• LCM of 889, 934, 292, 601, 452
• LCM of 195, 567, 671, 687, 530
• LCM of 478, 414, 429, 816, 278
• LCM of 940, 926, 827, 933, 917

1. What is the LCM of 827, 214, 575, 746, 392?

Answer: LCM of 827, 214, 575, 746, 392 is 7439641883800.

2. How to calculate the LCM of 827, 214, 575, 746, 392?

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 827, 214, 575, 746, 392.

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}.