Given numbers are 565,214,624

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

The LCM of 565,214,624 is 37723920.

Find LCM of 565,214,624 with Prime Factorization

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

2 x 565 x 107 x 312 = 37723920

Therefore, the lowest common multiple of 565,214,624 is 37723920.

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 214 x 624 = 75447840

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

214 : 1, 2, 107, 214

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 565,214,624, is 1.

Now, the common factors can be found like this.

565:5x 113

214:2x 107

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 75447840/(1x2)

LCM = 75447840/2

LCM = 37723920

Thus, we can understand that the LCM of 565,214,624 is 37723920.

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

• LCM of 199, 610, 681
• LCM of 440, 652, 255
• LCM of 455, 131, 491
• LCM of 804, 290, 640
• LCM of 719, 429, 919

1. What is the LCM of 565, 214, 624?

Answer: LCM of 565, 214, 624 is 37723920.

2. How to calculate the LCM of 565, 214, 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, 214, 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}.