Given numbers are 565,470,630,624

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

The LCM of 565,470,630,624 is 347976720.

Find LCM of 565,470,630,624 with Prime Factorization

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

2 x 3 x 5 x 113 x 47 x 21 x 104 = 347976720

Therefore, the lowest common multiple of 565,470,630,624 is 347976720.

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.

565 x 470 x 630 x 624 = 104393016000

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.

565 : 1, 5, 113, 565

470 : 1, 2, 5, 10, 47, 94, 235, 470

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,470,630,624, is 1.

Now, the common factors can be found like this.

565:5x 113

470:2x 5x 47

630:2x 3x 3x 5x 7

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

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 104393016000/(1x300)

LCM = 104393016000/300

LCM = 347976720

Thus, we can understand that the LCM of 565,470,630,624 is 347976720.

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

• LCM of 193, 408, 964, 681
• LCM of 273, 892, 372, 319
• LCM of 311, 789, 873, 786
• LCM of 656, 296, 847, 158
• LCM of 728, 627, 662, 630

1. What is the LCM of 565, 470, 630, 624?

Answer: LCM of 565, 470, 630, 624 is 347976720.

2. How to calculate the LCM of 565, 470, 630, 624?

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 565, 470, 630, 624.

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}.