Given numbers are 346,480,374,278,772

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

The LCM of 346,480,374,278,772 is 416582532960.

Find LCM of 346,480,374,278,772 with Prime Factorization

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

2 x 2 x 173 x 120 x 187 x 139 x 193 = 416582532960

Therefore, the lowest common multiple of 346,480,374,278,772 is 416582532960.

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.

346 x 480 x 374 x 278 x 772 = 13330641054720

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.

346 : 1, 2, 173, 346

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

374 : 1, 2, 11, 17, 22, 34, 187, 374

278 : 1, 2, 139, 278

772 : 1, 2, 4, 193, 386, 772

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,480,374,278,772, is 2.

Now, the common factors can be found like this.

346:2x 173

480:2x 2x 2x 2x 2x 3x 5

374:2x 11x 17

278:2x 139

772:2x 2x 193

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 2 = 16

Therefore, the value for common factors is 16.

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 = 13330641054720/(2x16)

LCM = 13330641054720/32

LCM = 416582532960

Thus, we can understand that the LCM of 346,480,374,278,772 is 416582532960.

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

• LCM of 324, 176, 326, 333, 960
• LCM of 955, 262, 205, 371, 792
• LCM of 509, 476, 395, 437, 494
• LCM of 701, 436, 236, 647, 175
• LCM of 331, 286, 586, 645, 182

1. What is the LCM of 346, 480, 374, 278, 772?

Answer: LCM of 346, 480, 374, 278, 772 is 416582532960.

2. How to calculate the LCM of 346, 480, 374, 278, 772?

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 346, 480, 374, 278, 772.

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}.