Given numbers are 420,349,355,790,336

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

The LCM of 420,349,355,790,336 is 3288668880.

Find LCM of 420,349,355,790,336 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 1 x 349 x 71 x 79 x 4 = 3288668880

Therefore, the lowest common multiple of 420,349,355,790,336 is 3288668880.

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.

420 x 349 x 355 x 790 x 336 = 13812409296000

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

349 : 1, 349

355 : 1, 5, 71, 355

790 : 1, 2, 5, 10, 79, 158, 395, 790

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,349,355,790,336, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

349:349

355:5x 71

790:2x 5x 79

336:2x 2x 2x 2x 3x 7

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 3x 5x 5x 7 = 4200

Therefore, the value for common factors is 4200.

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 = 13812409296000/(1x4200)

LCM = 13812409296000/4200

LCM = 3288668880

Thus, we can understand that the LCM of 420,349,355,790,336 is 3288668880.

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

• LCM of 547, 108, 248, 614, 514
• LCM of 223, 927, 863, 919, 589
• LCM of 859, 101, 597, 514, 198
• LCM of 302, 701, 714, 980, 956
• LCM of 931, 779, 594, 236, 557

1. What is the LCM of 420, 349, 355, 790, 336?

Answer: LCM of 420, 349, 355, 790, 336 is 3288668880.

2. How to calculate the LCM of 420, 349, 355, 790, 336?

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 420, 349, 355, 790, 336.

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}.