Given numbers are 342,598,748,746,494

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

The LCM of 342,598,748,746,494 is 14265195516.

Find LCM of 342,598,748,746,494 with Prime Factorization

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

2 x 13 x 19 x 9 x 23 x 374 x 373 x 1 = 14265195516

Therefore, the lowest common multiple of 342,598,748,746,494 is 14265195516.

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.

342 x 598 x 748 x 746 x 494 = 56376052679232

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

746 : 1, 2, 373, 746

494 : 1, 2, 13, 19, 26, 38, 247, 494

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,598,748,746,494, is 2.

Now, the common factors can be found like this.

342:2x 3x 3x 19

598:2x 13x 23

748:2x 2x 11x 17

746:2x 373

494:2x 13x 19

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 13x 19 = 1976

Therefore, the value for common factors is 1976.

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 = 56376052679232/(2x1976)

LCM = 56376052679232/3952

LCM = 14265195516

Thus, we can understand that the LCM of 342,598,748,746,494 is 14265195516.

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

• LCM of 679, 192, 323, 659, 427
• LCM of 697, 788, 944, 253, 368
• LCM of 859, 390, 903, 427, 310
• LCM of 522, 180, 701, 306, 645
• LCM of 594, 156, 260, 648, 756

1. What is the LCM of 342, 598, 748, 746, 494?

Answer: LCM of 342, 598, 748, 746, 494 is 14265195516.

2. How to calculate the LCM of 342, 598, 748, 746, 494?

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 342, 598, 748, 746, 494.

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}.