Given numbers are 407,341,518,409

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

The LCM of 407,341,518,409 is 72244942.

Find LCM of 407,341,518,409 with Prime Factorization

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

11 x 37 x 1 x 31 x 14 x 409 = 72244942

Therefore, the lowest common multiple of 407,341,518,409 is 72244942.

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 341 x 518 x 409 = 29403691394

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

341 : 1, 11, 31, 341

518 : 1, 2, 7, 14, 37, 74, 259, 518

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,341,518,409, is 1.

Now, the common factors can be found like this.

407:11x 37

341:11x 31

518:2x 7x 37

409:409

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

11x 37 = 407

Therefore, the value for common factors is 407.

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 = 29403691394/(1x407)

LCM = 29403691394/407

LCM = 72244942

Thus, we can understand that the LCM of 407,341,518,409 is 72244942.

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

• LCM of 580, 119, 682, 599
• LCM of 205, 638, 591, 696
• LCM of 586, 837, 438, 886
• LCM of 810, 314, 803, 750
• LCM of 100, 846, 435, 256

1. What is the LCM of 407, 341, 518, 409?

Answer: LCM of 407, 341, 518, 409 is 72244942.

2. How to calculate the LCM of 407, 341, 518, 409?

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, 341, 518, 409.

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}.