Given numbers are 348,532,257,519,390

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

The LCM of 348,532,257,519,390 is 133759140060.

Find LCM of 348,532,257,519,390 with Prime Factorization

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

2 x 2 x 3 x 29 x 133 x 257 x 173 x 65 = 133759140060

Therefore, the lowest common multiple of 348,532,257,519,390 is 133759140060.

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.

348 x 532 x 257 x 519 x 390 = 9630658084320

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.

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

257 : 1, 257

519 : 1, 3, 173, 519

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,532,257,519,390, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

532:2x 2x 7x 19

257:257

519:3x 173

390:2x 3x 5x 13

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 9630658084320/(1x72)

LCM = 9630658084320/72

LCM = 133759140060

Thus, we can understand that the LCM of 348,532,257,519,390 is 133759140060.

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

• LCM of 744, 429, 627, 126, 938
• LCM of 617, 690, 251, 325, 969
• LCM of 853, 801, 871, 161, 452
• LCM of 537, 160, 111, 594, 320
• LCM of 854, 528, 172, 383, 980

1. What is the LCM of 348, 532, 257, 519, 390?

Answer: LCM of 348, 532, 257, 519, 390 is 133759140060.

2. How to calculate the LCM of 348, 532, 257, 519, 390?

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 348, 532, 257, 519, 390.

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}.