Given numbers are 540,267,584,214

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

The LCM of 540,267,584,214 is 750793320.

Find LCM of 540,267,584,214 with Prime Factorization

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

2 x 2 x 3 x 45 x 89 x 146 x 107 = 750793320

Therefore, the lowest common multiple of 540,267,584,214 is 750793320.

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 267 x 584 x 214 = 18019039680

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

267 : 1, 3, 89, 267

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

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,267,584,214, is 1.

Now, the common factors can be found like this.

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

267:3x 89

584:2x 2x 2x 73

214:2x 107

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 3 = 24

Therefore, the value for common factors is 24.

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 = 18019039680/(1x24)

LCM = 18019039680/24

LCM = 750793320

Thus, we can understand that the LCM of 540,267,584,214 is 750793320.

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

• LCM of 787, 712, 569, 806
• LCM of 245, 949, 896, 686
• LCM of 846, 978, 359, 216
• LCM of 109, 788, 585, 303
• LCM of 944, 574, 195, 121

1. What is the LCM of 540, 267, 584, 214?

Answer: LCM of 540, 267, 584, 214 is 750793320.

2. How to calculate the LCM of 540, 267, 584, 214?

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, 267, 584, 214.

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}.