Given numbers are 231,975,305,756,133

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

The LCM of 231,975,305,756,133 is 3132429300.

Find LCM of 231,975,305,756,133 with Prime Factorization

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

3 x 5 x 7 x 11 x 65 x 61 x 36 x 19 = 3132429300

Therefore, the lowest common multiple of 231,975,305,756,133 is 3132429300.

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.

231 x 975 x 305 x 756 x 133 = 6907006606500

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.

231 : 1, 3, 7, 11, 21, 33, 77, 231

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

305 : 1, 5, 61, 305

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

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,975,305,756,133, is 1.

Now, the common factors can be found like this.

231:3x 7x 11

975:3x 5x 5x 13

305:5x 61

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

133:7x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 5x 7x 7 = 2205

Therefore, the value for common factors is 2205.

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 = 6907006606500/(1x2205)

LCM = 6907006606500/2205

LCM = 3132429300

Thus, we can understand that the LCM of 231,975,305,756,133 is 3132429300.

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

• LCM of 514, 642, 877, 222, 597
• LCM of 945, 914, 403, 264, 493
• LCM of 654, 299, 805, 133, 492
• LCM of 828, 216, 729, 953, 349
• LCM of 982, 343, 850, 439, 818

1. What is the LCM of 231, 975, 305, 756, 133?

Answer: LCM of 231, 975, 305, 756, 133 is 3132429300.

2. How to calculate the LCM of 231, 975, 305, 756, 133?

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 231, 975, 305, 756, 133.

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}.