Given numbers are 121,288,355,920,765

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

The LCM of 121,288,355,920,765 is 4837076640.

Find LCM of 121,288,355,920,765 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 121 x 4 x 71 x 23 x 17 = 4837076640

Therefore, the lowest common multiple of 121,288,355,920,765 is 4837076640.

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.

121 x 288 x 355 x 920 x 765 = 8706737952000

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.

121 : 1, 11, 121

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

355 : 1, 5, 71, 355

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,288,355,920,765, is 1.

Now, the common factors can be found like this.

121:11x 11

288:2x 2x 2x 2x 2x 3x 3

355:5x 71

920:2x 2x 2x 5x 23

765:3x 3x 5x 17

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 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 8706737952000/(1x1800)

LCM = 8706737952000/1800

LCM = 4837076640

Thus, we can understand that the LCM of 121,288,355,920,765 is 4837076640.

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

• LCM of 321, 624, 250, 906, 308
• LCM of 627, 222, 946, 623, 809
• LCM of 679, 865, 668, 789, 398
• LCM of 908, 750, 565, 157, 139
• LCM of 372, 623, 401, 491, 603

1. What is the LCM of 121, 288, 355, 920, 765?

Answer: LCM of 121, 288, 355, 920, 765 is 4837076640.

2. How to calculate the LCM of 121, 288, 355, 920, 765?

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 121, 288, 355, 920, 765.

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}.