Given numbers are 990,744,624,565

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

The LCM of 990,744,624,565 is 360668880.

Find LCM of 990,744,624,565 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 33 x 31 x 26 x 113 = 360668880

Therefore, the lowest common multiple of 990,744,624,565 is 360668880.

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.

990 x 744 x 624 x 565 = 259681593600

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.

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,744,624,565, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

744:2x 2x 2x 3x 31

624:2x 2x 2x 2x 3x 13

565:5x 113

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 5 = 720

Therefore, the value for common factors is 720.

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 = 259681593600/(1x720)

LCM = 259681593600/720

LCM = 360668880

Thus, we can understand that the LCM of 990,744,624,565 is 360668880.

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

• LCM of 515, 635, 861, 296
• LCM of 530, 486, 308, 117
• LCM of 392, 162, 814, 613
• LCM of 989, 204, 862, 507
• LCM of 501, 698, 897, 419

1. What is the LCM of 990, 744, 624, 565?

Answer: LCM of 990, 744, 624, 565 is 360668880.

2. How to calculate the LCM of 990, 744, 624, 565?

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 990, 744, 624, 565.

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}.