Given numbers are 900,272,977,868

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

The LCM of 900,272,977,868 is 12974950800.

Find LCM of 900,272,977,868 with Prime Factorization

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

2 x 2 x 225 x 68 x 977 x 217 = 12974950800

Therefore, the lowest common multiple of 900,272,977,868 is 12974950800.

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.

900 x 272 x 977 x 868 = 207599212800

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

977 : 1, 977

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,272,977,868, is 1.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

272:2x 2x 2x 2x 17

977:977

868:2x 2x 7x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 207599212800/(1x16)

LCM = 207599212800/16

LCM = 12974950800

Thus, we can understand that the LCM of 900,272,977,868 is 12974950800.

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

• LCM of 674, 705, 984, 929
• LCM of 182, 946, 818, 575
• LCM of 418, 778, 654, 193
• LCM of 201, 363, 805, 294
• LCM of 644, 675, 242, 571

1. What is the LCM of 900, 272, 977, 868?

Answer: LCM of 900, 272, 977, 868 is 12974950800.

2. How to calculate the LCM of 900, 272, 977, 868?

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 900, 272, 977, 868.

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}.