Given numbers are 407,728,365,101,695

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

The LCM of 407,728,365,101,695 is 1518290333560.

Find LCM of 407,728,365,101,695 with Prime Factorization

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

5 x 407 x 728 x 73 x 101 x 139 = 1518290333560

Therefore, the lowest common multiple of 407,728,365,101,695 is 1518290333560.

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.

407 x 728 x 365 x 101 x 695 = 7591451667800

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.

407 : 1, 11, 37, 407

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

365 : 1, 5, 73, 365

101 : 1, 101

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,728,365,101,695, is 1.

Now, the common factors can be found like this.

407:11x 37

728:2x 2x 2x 7x 13

365:5x 73

101:101

695:5x 139

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

5 = 5

Therefore, the value for common factors is 5.

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 = 7591451667800/(1x5)

LCM = 7591451667800/5

LCM = 1518290333560

Thus, we can understand that the LCM of 407,728,365,101,695 is 1518290333560.

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

• LCM of 508, 202, 702, 977, 809
• LCM of 708, 906, 771, 463, 488
• LCM of 835, 611, 730, 550, 323
• LCM of 364, 666, 423, 741, 861
• LCM of 265, 151, 433, 407, 677

1. What is the LCM of 407, 728, 365, 101, 695?

Answer: LCM of 407, 728, 365, 101, 695 is 1518290333560.

2. How to calculate the LCM of 407, 728, 365, 101, 695?

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 407, 728, 365, 101, 695.

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}.