Given numbers are 318,316,528,348,544

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

The LCM of 318,316,528,348,544 is 2179785696.

Find LCM of 318,316,528,348,544 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 53 x 79 x 11 x 29 x 34 = 2179785696

Therefore, the lowest common multiple of 318,316,528,348,544 is 2179785696.

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 316 x 528 x 348 x 544 = 10044452487168

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

316 : 1, 2, 4, 79, 158, 316

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,316,528,348,544, is 2.

Now, the common factors can be found like this.

318:2x 3x 53

316:2x 2x 79

528:2x 2x 2x 2x 3x 11

348:2x 2x 3x 29

544:2x 2x 2x 2x 2x 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 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 10044452487168/(2x2304)

LCM = 10044452487168/4608

LCM = 2179785696

Thus, we can understand that the LCM of 318,316,528,348,544 is 2179785696.

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

• LCM of 656, 873, 459, 243, 294
• LCM of 884, 342, 347, 173, 112
• LCM of 587, 131, 744, 538, 814
• LCM of 113, 863, 940, 898, 474
• LCM of 774, 371, 751, 256, 148

1. What is the LCM of 318, 316, 528, 348, 544?

Answer: LCM of 318, 316, 528, 348, 544 is 2179785696.

2. How to calculate the LCM of 318, 316, 528, 348, 544?

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, 316, 528, 348, 544.

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}.