Given numbers are 564,984,518,540,281

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

The LCM of 564,984,518,540,281 is 151464743640.

Find LCM of 564,984,518,540,281 with Prime Factorization

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

2 x 2 x 3 x 47 x 82 x 259 x 45 x 281 = 151464743640

Therefore, the lowest common multiple of 564,984,518,540,281 is 151464743640.

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 984 x 518 x 540 x 281 = 43621846168320

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

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,984,518,540,281, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

984:2x 2x 2x 3x 41

518:2x 7x 37

540:2x 2x 3x 3x 3x 5

281:281

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 2x 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 43621846168320/(1x288)

LCM = 43621846168320/288

LCM = 151464743640

Thus, we can understand that the LCM of 564,984,518,540,281 is 151464743640.

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

• LCM of 243, 463, 691, 173, 806
• LCM of 767, 153, 242, 387, 899
• LCM of 314, 964, 813, 774, 279
• LCM of 908, 329, 689, 260, 484
• LCM of 315, 148, 780, 900, 705

1. What is the LCM of 564, 984, 518, 540, 281?

Answer: LCM of 564, 984, 518, 540, 281 is 151464743640.

2. How to calculate the LCM of 564, 984, 518, 540, 281?

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, 984, 518, 540, 281.

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}.