Given numbers are 505,705,286,802

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

The LCM of 505,705,286,802 is 8166216630.

Find LCM of 505,705,286,802 with Prime Factorization

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

2 x 5 x 101 x 141 x 143 x 401 = 8166216630

Therefore, the lowest common multiple of 505,705,286,802 is 8166216630.

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 705 x 286 x 802 = 81662166300

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

705 : 1, 3, 5, 15, 47, 141, 235, 705

286 : 1, 2, 11, 13, 22, 26, 143, 286

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,705,286,802, is 1.

Now, the common factors can be found like this.

505:5x 101

705:3x 5x 47

286:2x 11x 13

802:2x 401

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 81662166300/(1x10)

LCM = 81662166300/10

LCM = 8166216630

Thus, we can understand that the LCM of 505,705,286,802 is 8166216630.

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

• LCM of 379, 782, 425, 956
• LCM of 817, 268, 726, 967
• LCM of 416, 504, 863, 386
• LCM of 117, 556, 181, 108
• LCM of 874, 568, 508, 546

1. What is the LCM of 505, 705, 286, 802?

Answer: LCM of 505, 705, 286, 802 is 8166216630.

2. How to calculate the LCM of 505, 705, 286, 802?

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, 705, 286, 802.

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}.