Given numbers are 354,296,391,486,950

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

The LCM of 354,296,391,486,950 is 788170840200.

Find LCM of 354,296,391,486,950 with Prime Factorization

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

2 x 3 x 59 x 148 x 391 x 81 x 475 = 788170840200

Therefore, the lowest common multiple of 354,296,391,486,950 is 788170840200.

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 296 x 391 x 486 x 950 = 18916100164800

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

391 : 1, 17, 23, 391

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,296,391,486,950, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

296:2x 2x 2x 37

391:17x 23

486:2x 3x 3x 3x 3x 3

950:2x 5x 5x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 18916100164800/(1x24)

LCM = 18916100164800/24

LCM = 788170840200

Thus, we can understand that the LCM of 354,296,391,486,950 is 788170840200.

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

• LCM of 671, 120, 546, 557, 854
• LCM of 640, 424, 181, 266, 212
• LCM of 387, 346, 945, 364, 497
• LCM of 169, 483, 637, 533, 363
• LCM of 322, 120, 349, 609, 261

1. What is the LCM of 354, 296, 391, 486, 950?

Answer: LCM of 354, 296, 391, 486, 950 is 788170840200.

2. How to calculate the LCM of 354, 296, 391, 486, 950?

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, 296, 391, 486, 950.

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}.