Given numbers are 505,423,201,782

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

The LCM of 505,423,201,782 is 11192144310.

Find LCM of 505,423,201,782 with Prime Factorization

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

3 x 505 x 141 x 67 x 782 = 11192144310

Therefore, the lowest common multiple of 505,423,201,782 is 11192144310.

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.

505 x 423 x 201 x 782 = 33576432930

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.

505 : 1, 5, 101, 505

423 : 1, 3, 9, 47, 141, 423

201 : 1, 3, 67, 201

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 505,423,201,782, is 1.

Now, the common factors can be found like this.

505:5x 101

423:3x 3x 47

201:3x 67

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 33576432930/(1x3)

LCM = 33576432930/3

LCM = 11192144310

Thus, we can understand that the LCM of 505,423,201,782 is 11192144310.

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

• LCM of 395, 314, 468, 549
• LCM of 989, 499, 271, 568
• LCM of 448, 843, 456, 714
• LCM of 508, 445, 465, 348
• LCM of 692, 904, 533, 455

1. What is the LCM of 505, 423, 201, 782?

Answer: LCM of 505, 423, 201, 782 is 11192144310.

2. How to calculate the LCM of 505, 423, 201, 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 505, 423, 201, 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}.