Given numbers are 354,363,772,542,289

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

The LCM of 354,363,772,542,289 is 1294920393756.

Find LCM of 354,363,772,542,289 with Prime Factorization

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

2 x 3 x 59 x 121 x 386 x 271 x 289 = 1294920393756

Therefore, the lowest common multiple of 354,363,772,542,289 is 1294920393756.

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.

354 x 363 x 772 x 542 x 289 = 15539044725072

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

363 : 1, 3, 11, 33, 121, 363

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

542 : 1, 2, 271, 542

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,363,772,542,289, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

363:3x 11x 11

772:2x 2x 193

542:2x 271

289:17x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 15539044725072/(1x12)

LCM = 15539044725072/12

LCM = 1294920393756

Thus, we can understand that the LCM of 354,363,772,542,289 is 1294920393756.

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

• LCM of 403, 399, 174, 128, 960
• LCM of 564, 751, 443, 180, 438
• LCM of 424, 310, 260, 465, 870
• LCM of 577, 744, 674, 181, 780
• LCM of 780, 514, 275, 802, 730

1. What is the LCM of 354, 363, 772, 542, 289?

Answer: LCM of 354, 363, 772, 542, 289 is 1294920393756.

2. How to calculate the LCM of 354, 363, 772, 542, 289?

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 354, 363, 772, 542, 289.

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}.