Given numbers are 564,554,810,984

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

The LCM of 564,554,810,984 is 1729443960.

Find LCM of 564,554,810,984 with Prime Factorization

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

2 x 2 x 3 x 47 x 277 x 135 x 82 = 1729443960

Therefore, the lowest common multiple of 564,554,810,984 is 1729443960.

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 554 x 810 x 984 = 249039930240

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

554 : 1, 2, 277, 554

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,554,810,984, is 2.

Now, the common factors can be found like this.

564:2x 2x 3x 47

554:2x 277

810:2x 3x 3x 3x 3x 5

984:2x 2x 2x 3x 41

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 249039930240/(2x72)

LCM = 249039930240/144

LCM = 1729443960

Thus, we can understand that the LCM of 564,554,810,984 is 1729443960.

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

• LCM of 672, 594, 964, 992
• LCM of 645, 796, 618, 934
• LCM of 525, 227, 491, 293
• LCM of 880, 172, 855, 967
• LCM of 634, 610, 611, 636

1. What is the LCM of 564, 554, 810, 984?

Answer: LCM of 564, 554, 810, 984 is 1729443960.

2. How to calculate the LCM of 564, 554, 810, 984?

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, 554, 810, 984.

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}.