Given numbers are 564,269,214,565

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

The LCM of 564,269,214,565 is 9171990780.

Find LCM of 564,269,214,565 with Prime Factorization

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

2 x 282 x 269 x 107 x 565 = 9171990780

Therefore, the lowest common multiple of 564,269,214,565 is 9171990780.

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.

564 x 269 x 214 x 565 = 18343981560

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.

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

269 : 1, 269

214 : 1, 2, 107, 214

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,269,214,565, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

269:269

214:2x 107

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.

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 = 18343981560/(1x2)

LCM = 18343981560/2

LCM = 9171990780

Thus, we can understand that the LCM of 564,269,214,565 is 9171990780.

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

• LCM of 100, 681, 156, 418
• LCM of 355, 954, 948, 842
• LCM of 481, 855, 684, 158
• LCM of 768, 605, 437, 607
• LCM of 808, 810, 724, 858

1. What is the LCM of 564, 269, 214, 565?

Answer: LCM of 564, 269, 214, 565 is 9171990780.

2. How to calculate the LCM of 564, 269, 214, 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 564, 269, 214, 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}.