Given numbers are 342,748,557,302,994

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

The LCM of 342,748,557,302,994 is 5346705203532.

Find LCM of 342,748,557,302,994 with Prime Factorization

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

2 x 171 x 374 x 557 x 151 x 497 = 5346705203532

Therefore, the lowest common multiple of 342,748,557,302,994 is 5346705203532.

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 748 x 557 x 302 x 994 = 42773641628256

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

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

557 : 1, 557

302 : 1, 2, 151, 302

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,748,557,302,994, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

748:2x 2x 11x 17

557:557

302:2x 151

994:2x 7x 71

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 2 = 8

Therefore, the value for common factors is 8.

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 = 42773641628256/(1x8)

LCM = 42773641628256/8

LCM = 5346705203532

Thus, we can understand that the LCM of 342,748,557,302,994 is 5346705203532.

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

• LCM of 532, 185, 615, 879, 987
• LCM of 686, 182, 160, 336, 371
• LCM of 406, 761, 903, 680, 967
• LCM of 152, 800, 106, 655, 853
• LCM of 923, 337, 363, 470, 386

1. What is the LCM of 342, 748, 557, 302, 994?

Answer: LCM of 342, 748, 557, 302, 994 is 5346705203532.

2. How to calculate the LCM of 342, 748, 557, 302, 994?

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, 748, 557, 302, 994.

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}.