Given numbers are 366,746,243,202,460

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

The LCM of 366,746,243,202,460 is 256876364340.

Find LCM of 366,746,243,202,460 with Prime Factorization

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

2 x 3 x 61 x 373 x 81 x 101 x 230 = 256876364340

Therefore, the lowest common multiple of 366,746,243,202,460 is 256876364340.

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.

366 x 746 x 243 x 202 x 460 = 6165032744160

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

746 : 1, 2, 373, 746

243 : 1, 3, 9, 27, 81, 243

202 : 1, 2, 101, 202

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,746,243,202,460, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

746:2x 373

243:3x 3x 3x 3x 3

202:2x 101

460:2x 2x 5x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 6165032744160/(1x24)

LCM = 6165032744160/24

LCM = 256876364340

Thus, we can understand that the LCM of 366,746,243,202,460 is 256876364340.

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

• LCM of 678, 295, 933, 763, 393
• LCM of 884, 451, 472, 573, 670
• LCM of 402, 633, 602, 994, 601
• LCM of 269, 466, 848, 559, 946
• LCM of 517, 405, 673, 799, 838

1. What is the LCM of 366, 746, 243, 202, 460?

Answer: LCM of 366, 746, 243, 202, 460 is 256876364340.

2. How to calculate the LCM of 366, 746, 243, 202, 460?

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 366, 746, 243, 202, 460.

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}.