Given numbers are 349,896,630,336

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

The LCM of 349,896,630,336 is 14071680.

Find LCM of 349,896,630,336 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 349 x 8 x 15 x 1 = 14071680

Therefore, the lowest common multiple of 349,896,630,336 is 14071680.

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 896 x 630 x 336 = 66193182720

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

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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 349,896,630,336, is 1.

Now, the common factors can be found like this.

349:349

896:2x 2x 2x 2x 2x 2x 2x 7

630:2x 3x 3x 5x 7

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 2x 2x 3x 7x 7 = 4704

Therefore, the value for common factors is 4704.

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 = 66193182720/(1x4704)

LCM = 66193182720/4704

LCM = 14071680

Thus, we can understand that the LCM of 349,896,630,336 is 14071680.

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

• LCM of 317, 910, 581, 632
• LCM of 846, 610, 628, 985
• LCM of 982, 282, 881, 631
• LCM of 566, 903, 328, 949
• LCM of 401, 992, 551, 834

1. What is the LCM of 349, 896, 630, 336?

Answer: LCM of 349, 896, 630, 336 is 14071680.

2. How to calculate the LCM of 349, 896, 630, 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, 896, 630, 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}.