Given numbers are 565,456,283,584

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

The LCM of 565,456,283,584 is 5322584760.

Find LCM of 565,456,283,584 with Prime Factorization

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

2 x 2 x 2 x 565 x 57 x 283 x 73 = 5322584760

Therefore, the lowest common multiple of 565,456,283,584 is 5322584760.

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 456 x 283 x 584 = 42580678080

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

283 : 1, 283

584 : 1, 2, 4, 8, 73, 146, 292, 584

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,456,283,584, is 1.

Now, the common factors can be found like this.

565:5x 113

456:2x 2x 2x 3x 19

283:283

584:2x 2x 2x 73

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 2 = 8

Therefore, the value for common factors is 8.

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 = 42580678080/(1x8)

LCM = 42580678080/8

LCM = 5322584760

Thus, we can understand that the LCM of 565,456,283,584 is 5322584760.

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

• LCM of 920, 941, 152, 690
• LCM of 694, 520, 390, 870
• LCM of 676, 252, 837, 945
• LCM of 908, 312, 785, 367
• LCM of 621, 289, 590, 960

1. What is the LCM of 565, 456, 283, 584?

Answer: LCM of 565, 456, 283, 584 is 5322584760.

2. How to calculate the LCM of 565, 456, 283, 584?

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, 456, 283, 584.

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}.