Given numbers are 428,782,809,357

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

The LCM of 428,782,809,357 is 2843075172.

Find LCM of 428,782,809,357 with Prime Factorization

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

2 x 17 x 214 x 23 x 809 x 21 = 2843075172

Therefore, the lowest common multiple of 428,782,809,357 is 2843075172.

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.

428 x 782 x 809 x 357 = 96664555848

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.

428 : 1, 2, 4, 107, 214, 428

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

809 : 1, 809

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,782,809,357, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

782:2x 17x 23

809:809

357:3x 7x 17

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 = 96664555848/(1x34)

LCM = 96664555848/34

LCM = 2843075172

Thus, we can understand that the LCM of 428,782,809,357 is 2843075172.

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

• LCM of 813, 533, 198, 286
• LCM of 596, 362, 546, 168
• LCM of 970, 569, 143, 352
• LCM of 415, 384, 501, 254
• LCM of 220, 816, 863, 758

1. What is the LCM of 428, 782, 809, 357?

Answer: LCM of 428, 782, 809, 357 is 2843075172.

2. How to calculate the LCM of 428, 782, 809, 357?

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 428, 782, 809, 357.

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}.