Given numbers are 587,268,226,540

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

The LCM of 587,268,226,540 is 2399855580.

Find LCM of 587,268,226,540 with Prime Factorization

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

2 x 2 x 587 x 67 x 113 x 135 = 2399855580

Therefore, the lowest common multiple of 587,268,226,540 is 2399855580.

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.

587 x 268 x 226 x 540 = 19198844640

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.

587 : 1, 587

268 : 1, 2, 4, 67, 134, 268

226 : 1, 2, 113, 226

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,268,226,540, is 1.

Now, the common factors can be found like this.

587:587

268:2x 2x 67

226:2x 113

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

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 = 19198844640/(1x8)

LCM = 19198844640/8

LCM = 2399855580

Thus, we can understand that the LCM of 587,268,226,540 is 2399855580.

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

• LCM of 149, 554, 947, 794
• LCM of 274, 989, 518, 269
• LCM of 294, 516, 281, 532
• LCM of 654, 289, 142, 359
• LCM of 942, 360, 471, 339

1. What is the LCM of 587, 268, 226, 540?

Answer: LCM of 587, 268, 226, 540 is 2399855580.

2. How to calculate the LCM of 587, 268, 226, 540?

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 587, 268, 226, 540.

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}.