Given numbers are 487,278,414,780

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

The LCM of 487,278,414,780 is 3643237260.

Find LCM of 487,278,414,780 with Prime Factorization

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

2 x 3 x 487 x 139 x 69 x 130 = 3643237260

Therefore, the lowest common multiple of 487,278,414,780 is 3643237260.

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.

487 x 278 x 414 x 780 = 43718847120

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.

487 : 1, 487

278 : 1, 2, 139, 278

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,278,414,780, is 1.

Now, the common factors can be found like this.

487:487

278:2x 139

414:2x 3x 3x 23

780:2x 2x 3x 5x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 43718847120/(1x12)

LCM = 43718847120/12

LCM = 3643237260

Thus, we can understand that the LCM of 487,278,414,780 is 3643237260.

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

• LCM of 359, 946, 733, 357
• LCM of 581, 826, 167, 467
• LCM of 811, 441, 555, 236
• LCM of 732, 241, 475, 387
• LCM of 828, 924, 113, 496

1. What is the LCM of 487, 278, 414, 780?

Answer: LCM of 487, 278, 414, 780 is 3643237260.

2. How to calculate the LCM of 487, 278, 414, 780?

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 487, 278, 414, 780.

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}.