Given numbers are 233,506,468,772,137

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

The LCM of 233,506,468,772,137 is 729457798212.

Find LCM of 233,506,468,772,137 with Prime Factorization

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

2 x 2 x 233 x 253 x 117 x 193 x 137 = 729457798212

Therefore, the lowest common multiple of 233,506,468,772,137 is 729457798212.

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.

233 x 506 x 468 x 772 x 137 = 5835662385696

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.

233 : 1, 233

506 : 1, 2, 11, 22, 23, 46, 253, 506

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

772 : 1, 2, 4, 193, 386, 772

137 : 1, 137

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 233,506,468,772,137, is 1.

Now, the common factors can be found like this.

233:233

506:2x 11x 23

468:2x 2x 3x 3x 13

772:2x 2x 193

137:137

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5835662385696/(1x8)

LCM = 5835662385696/8

LCM = 729457798212

Thus, we can understand that the LCM of 233,506,468,772,137 is 729457798212.

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

• LCM of 108, 847, 247, 645, 394
• LCM of 892, 547, 918, 873, 398
• LCM of 304, 261, 367, 730, 463
• LCM of 359, 599, 920, 200, 747
• LCM of 766, 429, 333, 954, 975

1. What is the LCM of 233, 506, 468, 772, 137?

Answer: LCM of 233, 506, 468, 772, 137 is 729457798212.

2. How to calculate the LCM of 233, 506, 468, 772, 137?

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 233, 506, 468, 772, 137.

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}.