Given numbers are 349,637,106,214,336

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

The LCM of 349,637,106,214,336 is 60515377104.

Find LCM of 349,637,106,214,336 with Prime Factorization

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

2 x 7 x 349 x 91 x 53 x 107 x 24 = 60515377104

Therefore, the lowest common multiple of 349,637,106,214,336 is 60515377104.

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.

349 x 637 x 106 x 214 x 336 = 1694430558912

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.

349 : 1, 349

637 : 1, 7, 13, 49, 91, 637

106 : 1, 2, 53, 106

214 : 1, 2, 107, 214

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 349,637,106,214,336, is 1.

Now, the common factors can be found like this.

349:349

637:7x 7x 13

106:2x 53

214:2x 107

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 7 = 28

Therefore, the value for common factors is 28.

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 = 1694430558912/(1x28)

LCM = 1694430558912/28

LCM = 60515377104

Thus, we can understand that the LCM of 349,637,106,214,336 is 60515377104.

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

• LCM of 353, 935, 728, 976, 544
• LCM of 700, 392, 896, 130, 225
• LCM of 577, 518, 608, 999, 568
• LCM of 894, 823, 266, 690, 847
• LCM of 357, 203, 386, 811, 738

1. What is the LCM of 349, 637, 106, 214, 336?

Answer: LCM of 349, 637, 106, 214, 336 is 60515377104.

2. How to calculate the LCM of 349, 637, 106, 214, 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 349, 637, 106, 214, 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}.