Given numbers are 920,147,528,777,831

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

The LCM of 920,147,528,777,831 is 30493644720.

Find LCM of 920,147,528,777,831 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 115 x 7 x 22 x 37 x 277 = 30493644720

Therefore, the lowest common multiple of 920,147,528,777,831 is 30493644720.

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 147 x 528 x 777 x 831 = 46106390816640

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

147 : 1, 3, 7, 21, 49, 147

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

777 : 1, 3, 7, 21, 37, 111, 259, 777

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,147,528,777,831, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

147:3x 7x 7

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

777:3x 7x 37

831:3x 277

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 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 46106390816640/(1x1512)

LCM = 46106390816640/1512

LCM = 30493644720

Thus, we can understand that the LCM of 920,147,528,777,831 is 30493644720.

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

• LCM of 735, 978, 944, 953, 805
• LCM of 818, 641, 782, 372, 411
• LCM of 663, 643, 658, 529, 274
• LCM of 822, 242, 123, 529, 396
• LCM of 131, 413, 141, 352, 222

1. What is the LCM of 920, 147, 528, 777, 831?

Answer: LCM of 920, 147, 528, 777, 831 is 30493644720.

2. How to calculate the LCM of 920, 147, 528, 777, 831?

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, 147, 528, 777, 831.

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}.