Given numbers are 588,425,281,117,408

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

The LCM of 588,425,281,117,408 is 5477308200.

Find LCM of 588,425,281,117,408 with Prime Factorization

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

2 x 2 x 3 x 17 x 49 x 25 x 281 x 39 x 2 = 5477308200

Therefore, the lowest common multiple of 588,425,281,117,408 is 5477308200.

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.

588 x 425 x 281 x 117 x 408 = 3352112618400

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

425 : 1, 5, 17, 25, 85, 425

281 : 1, 281

117 : 1, 3, 9, 13, 39, 117

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 588,425,281,117,408, is 1.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

425:5x 5x 17

281:281

117:3x 3x 13

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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 3352112618400/(1x612)

LCM = 3352112618400/612

LCM = 5477308200

Thus, we can understand that the LCM of 588,425,281,117,408 is 5477308200.

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

• LCM of 538, 990, 731, 438, 811
• LCM of 929, 151, 218, 877, 277
• LCM of 183, 126, 997, 735, 142
• LCM of 882, 947, 535, 679, 406
• LCM of 801, 196, 775, 657, 456

1. What is the LCM of 588, 425, 281, 117, 408?

Answer: LCM of 588, 425, 281, 117, 408 is 5477308200.

2. How to calculate the LCM of 588, 425, 281, 117, 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 588, 425, 281, 117, 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}.