Given numbers are 900,249,690,561,630

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

The LCM of 900,249,690,561,630 is 2248992900.

Find LCM of 900,249,690,561,630 with Prime Factorization

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

2 x 3 x 3 x 5 x 10 x 83 x 23 x 187 x 7 = 2248992900

Therefore, the lowest common multiple of 900,249,690,561,630 is 2248992900.

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 249 x 690 x 561 x 630 = 54650527470000

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

249 : 1, 3, 83, 249

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

561 : 1, 3, 11, 17, 33, 51, 187, 561

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,249,690,561,630, is 3.

Now, the common factors can be found like this.

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

249:3x 83

690:2x 3x 5x 23

561:3x 11x 17

630:2x 3x 3x 5x 7

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 3x 3x 3x 3x 5x 5 = 8100

Therefore, the value for common factors is 8100.

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 = 54650527470000/(3x8100)

LCM = 54650527470000/24300

LCM = 2248992900

Thus, we can understand that the LCM of 900,249,690,561,630 is 2248992900.

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

• LCM of 840, 597, 239, 872, 981
• LCM of 807, 460, 420, 293, 346
• LCM of 115, 863, 538, 140, 790
• LCM of 483, 621, 484, 257, 269
• LCM of 262, 878, 253, 335, 368

1. What is the LCM of 900, 249, 690, 561, 630?

Answer: LCM of 900, 249, 690, 561, 630 is 2248992900.

2. How to calculate the LCM of 900, 249, 690, 561, 630?

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, 249, 690, 561, 630.

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}.