Given numbers are 493,835,157,630,305

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

The LCM of 493,835,157,630,305 is 496744911810.

Find LCM of 493,835,157,630,305 with Prime Factorization

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

5 x 493 x 167 x 157 x 126 x 61 = 496744911810

Therefore, the lowest common multiple of 493,835,157,630,305 is 496744911810.

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.

493 x 835 x 157 x 630 x 305 = 12418622795250

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.

493 : 1, 17, 29, 493

835 : 1, 5, 167, 835

157 : 1, 157

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,835,157,630,305, is 1.

Now, the common factors can be found like this.

493:17x 29

835:5x 167

157:157

630:2x 3x 3x 5x 7

305:5x 61

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 12418622795250/(1x25)

LCM = 12418622795250/25

LCM = 496744911810

Thus, we can understand that the LCM of 493,835,157,630,305 is 496744911810.

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

• LCM of 747, 342, 870, 545, 974
• LCM of 766, 290, 946, 250, 729
• LCM of 123, 709, 491, 396, 456
• LCM of 120, 350, 480, 432, 651
• LCM of 714, 750, 832, 465, 502

1. What is the LCM of 493, 835, 157, 630, 305?

Answer: LCM of 493, 835, 157, 630, 305 is 496744911810.

2. How to calculate the LCM of 493, 835, 157, 630, 305?

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 493, 835, 157, 630, 305.

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}.