Given numbers are 499,286,248,107,420

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

The LCM of 499,286,248,107,420 is 198820581960.

Find LCM of 499,286,248,107,420 with Prime Factorization

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

2 x 2 x 499 x 143 x 62 x 107 x 105 = 198820581960

Therefore, the lowest common multiple of 499,286,248,107,420 is 198820581960.

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.

499 x 286 x 248 x 107 x 420 = 1590564655680

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.

499 : 1, 499

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

107 : 1, 107

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 499,286,248,107,420, is 1.

Now, the common factors can be found like this.

499:499

286:2x 11x 13

248:2x 2x 2x 31

107:107

420:2x 2x 3x 5x 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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 1590564655680/(1x8)

LCM = 1590564655680/8

LCM = 198820581960

Thus, we can understand that the LCM of 499,286,248,107,420 is 198820581960.

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

• LCM of 541, 645, 252, 763, 164
• LCM of 682, 954, 680, 510, 975
• LCM of 581, 391, 204, 892, 819
• LCM of 432, 187, 682, 766, 248
• LCM of 899, 526, 843, 463, 224

1. What is the LCM of 499, 286, 248, 107, 420?

Answer: LCM of 499, 286, 248, 107, 420 is 198820581960.

2. How to calculate the LCM of 499, 286, 248, 107, 420?

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 499, 286, 248, 107, 420.

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}.