Given numbers are 348,936,420,821,842

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

The LCM of 348,936,420,821,842 is 328372775640.

Find LCM of 348,936,420,821,842 with Prime Factorization

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

2 x 2 x 3 x 29 x 78 x 35 x 821 x 421 = 328372775640

Therefore, the lowest common multiple of 348,936,420,821,842 is 328372775640.

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.

348 x 936 x 420 x 821 x 842 = 94571359384320

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

821 : 1, 821

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,936,420,821,842, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

936:2x 2x 2x 3x 3x 13

420:2x 2x 3x 5x 7

821:821

842:2x 421

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 3 = 288

Therefore, the value for common factors is 288.

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 = 94571359384320/(1x288)

LCM = 94571359384320/288

LCM = 328372775640

Thus, we can understand that the LCM of 348,936,420,821,842 is 328372775640.

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

• LCM of 190, 458, 453, 808, 286
• LCM of 649, 322, 322, 827, 297
• LCM of 552, 618, 773, 144, 147
• LCM of 242, 355, 731, 672, 102
• LCM of 393, 518, 754, 391, 177

1. What is the LCM of 348, 936, 420, 821, 842?

Answer: LCM of 348, 936, 420, 821, 842 is 328372775640.

2. How to calculate the LCM of 348, 936, 420, 821, 842?

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 348, 936, 420, 821, 842.

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}.