Given numbers are 528,517,407

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

The LCM of 528,517,407 is 918192.

Find LCM of 528,517,407 with Prime Factorization

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

11 x 48 x 47 x 37 = 918192

Therefore, the lowest common multiple of 528,517,407 is 918192.

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.

528 x 517 x 407 = 111101232

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

517 : 1, 11, 47, 517

407 : 1, 11, 37, 407

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,517,407, is 11.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

517:11x 47

407:11x 37

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

11 = 11

Therefore, the value for common factors is 11.

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 = 111101232/(11x11)

LCM = 111101232/121

LCM = 918192

Thus, we can understand that the LCM of 528,517,407 is 918192.

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

• LCM of 336, 985, 815
• LCM of 570, 678, 103
• LCM of 534, 797, 992
• LCM of 197, 860, 426
• LCM of 150, 586, 746

1. What is the LCM of 528, 517, 407?

Answer: LCM of 528, 517, 407 is 918192.

2. How to calculate the LCM of 528, 517, 407?

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 528, 517, 407.

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}.