Given numbers are 920,638,120,355,775

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

The LCM of 920,638,120,355,775 is 9689242200.

Find LCM of 920,638,120,355,775 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 319 x 3 x 71 x 155 = 9689242200

Therefore, the lowest common multiple of 920,638,120,355,775 is 9689242200.

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.

920 x 638 x 120 x 355 x 775 = 19378484400000

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.

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

355 : 1, 5, 71, 355

775 : 1, 5, 25, 31, 155, 775

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,638,120,355,775, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

638:2x 11x 29

120:2x 2x 2x 3x 5

355:5x 71

775:5x 5x 31

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 2x 5x 5x 5 = 2000

Therefore, the value for common factors is 2000.

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 = 19378484400000/(1x2000)

LCM = 19378484400000/2000

LCM = 9689242200

Thus, we can understand that the LCM of 920,638,120,355,775 is 9689242200.

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

• LCM of 492, 820, 467, 576, 828
• LCM of 917, 728, 862, 146, 454
• LCM of 698, 378, 271, 979, 258
• LCM of 350, 162, 799, 708, 346
• LCM of 345, 353, 495, 630, 673

1. What is the LCM of 920, 638, 120, 355, 775?

Answer: LCM of 920, 638, 120, 355, 775 is 9689242200.

2. How to calculate the LCM of 920, 638, 120, 355, 775?

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 920, 638, 120, 355, 775.

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}.