Given numbers are 756,115,759,696

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

The LCM of 756,115,759,696 is 55467720.

Find LCM of 756,115,759,696 with Prime Factorization

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

2 x 2 x 3 x 23 x 63 x 5 x 11 x 58 = 55467720

Therefore, the lowest common multiple of 756,115,759,696 is 55467720.

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 115 x 759 x 696 = 45927272160

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

115 : 1, 5, 23, 115

759 : 1, 3, 11, 23, 33, 69, 253, 759

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,115,759,696, is 1.

Now, the common factors can be found like this.

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

115:5x 23

759:3x 11x 23

696:2x 2x 2x 3x 29

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 3x 3x 23 = 828

Therefore, the value for common factors is 828.

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 = 45927272160/(1x828)

LCM = 45927272160/828

LCM = 55467720

Thus, we can understand that the LCM of 756,115,759,696 is 55467720.

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

• LCM of 173, 432, 870, 785
• LCM of 610, 636, 688, 927
• LCM of 403, 759, 929, 217
• LCM of 848, 512, 383, 471
• LCM of 182, 189, 184, 545

1. What is the LCM of 756, 115, 759, 696?

Answer: LCM of 756, 115, 759, 696 is 55467720.

2. How to calculate the LCM of 756, 115, 759, 696?

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, 115, 759, 696.

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}.