Given numbers are 487,544,160,953,408

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

The LCM of 487,544,160,953,408 is 3787145760.

Find LCM of 487,544,160,953,408 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 17 x 487 x 1 x 5 x 953 x 3 = 3787145760

Therefore, the lowest common multiple of 487,544,160,953,408 is 3787145760.

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 544 x 160 x 953 x 408 = 16481658347520

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

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

953 : 1, 953

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,544,160,953,408, is 1.

Now, the common factors can be found like this.

487:487

544:2x 2x 2x 2x 2x 17

160:2x 2x 2x 2x 2x 5

953:953

408:2x 2x 2x 3x 17

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 2x 2x 2x 17 = 4352

Therefore, the value for common factors is 4352.

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 = 16481658347520/(1x4352)

LCM = 16481658347520/4352

LCM = 3787145760

Thus, we can understand that the LCM of 487,544,160,953,408 is 3787145760.

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

• LCM of 760, 488, 994, 562, 757
• LCM of 535, 509, 856, 742, 700
• LCM of 604, 913, 167, 131, 374
• LCM of 644, 222, 360, 156, 496
• LCM of 420, 987, 410, 173, 147

1. What is the LCM of 487, 544, 160, 953, 408?

Answer: LCM of 487, 544, 160, 953, 408 is 3787145760.

2. How to calculate the LCM of 487, 544, 160, 953, 408?

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, 544, 160, 953, 408.

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}.