Given numbers are 268,598,528,248,348

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

The LCM of 268,598,528,248,348 is 9509104176.

Find LCM of 268,598,528,248,348 with Prime Factorization

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

2 x 2 x 2 x 3 x 67 x 299 x 22 x 31 x 29 = 9509104176

Therefore, the lowest common multiple of 268,598,528,248,348 is 9509104176.

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.

268 x 598 x 528 x 248 x 348 = 7302992007168

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.

268 : 1, 2, 4, 67, 134, 268

598 : 1, 2, 13, 23, 26, 46, 299, 598

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,598,528,248,348, is 2.

Now, the common factors can be found like this.

268:2x 2x 67

598:2x 13x 23

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

248:2x 2x 2x 31

348:2x 2x 3x 29

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 3 = 384

Therefore, the value for common factors is 384.

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 = 7302992007168/(2x384)

LCM = 7302992007168/768

LCM = 9509104176

Thus, we can understand that the LCM of 268,598,528,248,348 is 9509104176.

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

• LCM of 901, 971, 916, 635, 984
• LCM of 778, 667, 452, 784, 592
• LCM of 169, 773, 126, 958, 432
• LCM of 606, 211, 601, 190, 702
• LCM of 648, 142, 986, 494, 583

1. What is the LCM of 268, 598, 528, 248, 348?

Answer: LCM of 268, 598, 528, 248, 348 is 9509104176.

2. How to calculate the LCM of 268, 598, 528, 248, 348?

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 268, 598, 528, 248, 348.

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}.