Given numbers are 765,205,168,528

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

The LCM of 765,205,168,528 is 38641680.

Find LCM of 765,205,168,528 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 51 x 41 x 7 x 22 = 38641680

Therefore, the lowest common multiple of 765,205,168,528 is 38641680.

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.

765 x 205 x 168 x 528 = 13911004800

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

205 : 1, 5, 41, 205

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,205,168,528, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

205:5x 41

168:2x 2x 2x 3x 7

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

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 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 13911004800/(1x360)

LCM = 13911004800/360

LCM = 38641680

Thus, we can understand that the LCM of 765,205,168,528 is 38641680.

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

• LCM of 324, 719, 235, 721
• LCM of 811, 212, 147, 696
• LCM of 207, 607, 404, 518
• LCM of 410, 123, 743, 260
• LCM of 504, 833, 165, 773

1. What is the LCM of 765, 205, 168, 528?

Answer: LCM of 765, 205, 168, 528 is 38641680.

2. How to calculate the LCM of 765, 205, 168, 528?

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 765, 205, 168, 528.

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}.