Given numbers are 575,696,966,764,114

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

The LCM of 575,696,966,764,114 is 10166280600.

Find LCM of 575,696,966,764,114 with Prime Factorization

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

2 x 2 x 3 x 23 x 25 x 58 x 7 x 191 x 19 = 10166280600

Therefore, the lowest common multiple of 575,696,966,764,114 is 10166280600.

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.

575 x 696 x 966 x 764 x 114 = 33670721347200

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.

575 : 1, 5, 23, 25, 115, 575

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

764 : 1, 2, 4, 191, 382, 764

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,696,966,764,114, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

696:2x 2x 2x 3x 29

966:2x 3x 7x 23

764:2x 2x 191

114:2x 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 2x 3x 3x 23 = 3312

Therefore, the value for common factors is 3312.

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 = 33670721347200/(1x3312)

LCM = 33670721347200/3312

LCM = 10166280600

Thus, we can understand that the LCM of 575,696,966,764,114 is 10166280600.

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

• LCM of 200, 666, 294, 373, 561
• LCM of 224, 527, 176, 937, 550
• LCM of 593, 709, 255, 483, 163
• LCM of 823, 399, 231, 556, 998
• LCM of 897, 939, 360, 791, 601

1. What is the LCM of 575, 696, 966, 764, 114?

Answer: LCM of 575, 696, 966, 764, 114 is 10166280600.

2. How to calculate the LCM of 575, 696, 966, 764, 114?

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 575, 696, 966, 764, 114.

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}.