Given numbers are 540,441,984,584

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

The LCM of 540,441,984,584 is 158389560.

Find LCM of 540,441,984,584 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 15 x 49 x 41 x 73 = 158389560

Therefore, the lowest common multiple of 540,441,984,584 is 158389560.

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.

540 x 441 x 984 x 584 = 136848579840

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.

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

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

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

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 540,441,984,584, is 1.

Now, the common factors can be found like this.

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

441:3x 3x 7x 7

984:2x 2x 2x 3x 41

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 2x 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 136848579840/(1x864)

LCM = 136848579840/864

LCM = 158389560

Thus, we can understand that the LCM of 540,441,984,584 is 158389560.

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

• LCM of 757, 280, 750, 638
• LCM of 802, 272, 839, 977
• LCM of 701, 195, 576, 499
• LCM of 997, 353, 856, 416
• LCM of 354, 735, 652, 975

1. What is the LCM of 540, 441, 984, 584?

Answer: LCM of 540, 441, 984, 584 is 158389560.

2. How to calculate the LCM of 540, 441, 984, 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 540, 441, 984, 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}.