Given numbers are 407,415,988,546,520

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

The LCM of 407,415,988,546,520 is 7008881880.

Find LCM of 407,415,988,546,520 with Prime Factorization

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

2 x 2 x 5 x 13 x 407 x 83 x 19 x 21 x 2 = 7008881880

Therefore, the lowest common multiple of 407,415,988,546,520 is 7008881880.

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.

407 x 415 x 988 x 546 x 520 = 47380041508800

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.

407 : 1, 11, 37, 407

415 : 1, 5, 83, 415

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,415,988,546,520, is 1.

Now, the common factors can be found like this.

407:11x 37

415:5x 83

988:2x 2x 13x 19

546:2x 3x 7x 13

520:2x 2x 2x 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 2x 5x 13x 13 = 6760

Therefore, the value for common factors is 6760.

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 = 47380041508800/(1x6760)

LCM = 47380041508800/6760

LCM = 7008881880

Thus, we can understand that the LCM of 407,415,988,546,520 is 7008881880.

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

• LCM of 779, 303, 642, 292, 298
• LCM of 357, 448, 690, 940, 368
• LCM of 288, 470, 937, 181, 295
• LCM of 593, 461, 391, 563, 836
• LCM of 353, 183, 490, 300, 287

1. What is the LCM of 407, 415, 988, 546, 520?

Answer: LCM of 407, 415, 988, 546, 520 is 7008881880.

2. How to calculate the LCM of 407, 415, 988, 546, 520?

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 407, 415, 988, 546, 520.

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}.