Given numbers are 900,944,564,459,987

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

The LCM of 900,944,564,459,987 is 3563859600.

Find LCM of 900,944,564,459,987 with Prime Factorization

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

2 x 2 x 3 x 3 x 47 x 25 x 236 x 1 x 51 x 7 = 3563859600

Therefore, the lowest common multiple of 900,944,564,459,987 is 3563859600.

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 944 x 564 x 459 x 987 = 217081815955200

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

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

459 : 1, 3, 9, 17, 27, 51, 153, 459

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,944,564,459,987, is 1.

Now, the common factors can be found like this.

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

944:2x 2x 2x 2x 59

564:2x 2x 3x 47

459:3x 3x 3x 17

987:3x 7x 47

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 3x 3x 3x 3x 47 = 60912

Therefore, the value for common factors is 60912.

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 = 217081815955200/(1x60912)

LCM = 217081815955200/60912

LCM = 3563859600

Thus, we can understand that the LCM of 900,944,564,459,987 is 3563859600.

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

• LCM of 586, 873, 907, 334, 612
• LCM of 387, 665, 911, 893, 475
• LCM of 406, 146, 711, 772, 933
• LCM of 206, 300, 402, 322, 689
• LCM of 139, 145, 914, 553, 155

1. What is the LCM of 900, 944, 564, 459, 987?

Answer: LCM of 900, 944, 564, 459, 987 is 3563859600.

2. How to calculate the LCM of 900, 944, 564, 459, 987?

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, 944, 564, 459, 987.

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}.