Given numbers are 902,536,484,920

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

The LCM of 902,536,484,920 is 305796040.

Find LCM of 902,536,484,920 with Prime Factorization

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

2 x 2 x 2 x 11 x 41 x 67 x 11 x 115 = 305796040

Therefore, the lowest common multiple of 902,536,484,920 is 305796040.

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.

902 x 536 x 484 x 920 = 215280412160

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

536 : 1, 2, 4, 8, 67, 134, 268, 536

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,536,484,920, is 2.

Now, the common factors can be found like this.

902:2x 11x 41

536:2x 2x 2x 67

484:2x 2x 11x 11

920:2x 2x 2x 5x 23

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 2x 11 = 352

Therefore, the value for common factors is 352.

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 = 215280412160/(2x352)

LCM = 215280412160/704

LCM = 305796040

Thus, we can understand that the LCM of 902,536,484,920 is 305796040.

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

• LCM of 907, 786, 272, 526
• LCM of 409, 501, 917, 531
• LCM of 979, 616, 789, 280
• LCM of 593, 579, 711, 919
• LCM of 840, 755, 354, 660

1. What is the LCM of 902, 536, 484, 920?

Answer: LCM of 902, 536, 484, 920 is 305796040.

2. How to calculate the LCM of 902, 536, 484, 920?

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 902, 536, 484, 920.

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}.