Given numbers are 349,361,840,532

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

The LCM of 349,361,840,532 is 105830760.

Find LCM of 349,361,840,532 with Prime Factorization

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

2 x 2 x 7 x 19 x 349 x 1 x 30 x 19 = 105830760

Therefore, the lowest common multiple of 349,361,840,532 is 105830760.

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 361 x 840 x 532 = 56301964320

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

361 : 1, 19, 361

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,361,840,532, is 1.

Now, the common factors can be found like this.

349:349

361:19x 19

840:2x 2x 2x 3x 5x 7

532:2x 2x 7x 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 7x 19 = 532

Therefore, the value for common factors is 532.

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 = 56301964320/(1x532)

LCM = 56301964320/532

LCM = 105830760

Thus, we can understand that the LCM of 349,361,840,532 is 105830760.

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

• LCM of 825, 326, 389, 417
• LCM of 446, 723, 511, 113
• LCM of 839, 927, 988, 597
• LCM of 508, 546, 741, 845
• LCM of 642, 446, 938, 196

1. What is the LCM of 349, 361, 840, 532?

Answer: LCM of 349, 361, 840, 532 is 105830760.

2. How to calculate the LCM of 349, 361, 840, 532?

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, 361, 840, 532.

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}.