Given numbers are 318,560,489,588,924

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

The LCM of 318,560,489,588,924 is 1117541040.

Find LCM of 318,560,489,588,924 with Prime Factorization

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

2 x 2 x 3 x 7 x 53 x 20 x 163 x 7 x 11 = 1117541040

Therefore, the lowest common multiple of 318,560,489,588,924 is 1117541040.

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.

318 x 560 x 489 x 588 x 924 = 47312217469440

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

489 : 1, 3, 163, 489

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,560,489,588,924, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

560:2x 2x 2x 2x 5x 7

489:3x 163

588:2x 2x 3x 7x 7

924:2x 2x 3x 7x 11

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 3x 3x 3x 7x 7 = 42336

Therefore, the value for common factors is 42336.

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 = 47312217469440/(1x42336)

LCM = 47312217469440/42336

LCM = 1117541040

Thus, we can understand that the LCM of 318,560,489,588,924 is 1117541040.

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

• LCM of 742, 880, 165, 441, 385
• LCM of 492, 753, 577, 394, 382
• LCM of 765, 559, 621, 610, 743
• LCM of 961, 832, 325, 422, 557
• LCM of 564, 326, 326, 124, 375

1. What is the LCM of 318, 560, 489, 588, 924?

Answer: LCM of 318, 560, 489, 588, 924 is 1117541040.

2. How to calculate the LCM of 318, 560, 489, 588, 924?

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 318, 560, 489, 588, 924.

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}.