Given numbers are 756,381,363,546,684

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

The LCM of 756,381,363,546,684 is 2869510644.

Find LCM of 756,381,363,546,684 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 3 x 127 x 121 x 13 x 19 = 2869510644

Therefore, the lowest common multiple of 756,381,363,546,684 is 2869510644.

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.

756 x 381 x 363 x 546 x 684 = 39048300843552

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

381 : 1, 3, 127, 381

363 : 1, 3, 11, 33, 121, 363

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,381,363,546,684, is 3.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

381:3x 127

363:3x 11x 11

546:2x 3x 7x 13

684:2x 2x 3x 3x 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 2x 3x 3x 3x 3x 7 = 4536

Therefore, the value for common factors is 4536.

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 = 39048300843552/(3x4536)

LCM = 39048300843552/13608

LCM = 2869510644

Thus, we can understand that the LCM of 756,381,363,546,684 is 2869510644.

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

• LCM of 803, 714, 768, 199, 990
• LCM of 232, 282, 394, 184, 401
• LCM of 515, 617, 708, 864, 400
• LCM of 931, 791, 739, 131, 876
• LCM of 563, 220, 301, 711, 425

1. What is the LCM of 756, 381, 363, 546, 684?

Answer: LCM of 756, 381, 363, 546, 684 is 2869510644.

2. How to calculate the LCM of 756, 381, 363, 546, 684?

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 756, 381, 363, 546, 684.

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}.