Given numbers are 184,207,492,253,457

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

The LCM of 184,207,492,253,457 is 341313192.

Find LCM of 184,207,492,253,457 with Prime Factorization

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

2 x 2 x 3 x 23 x 2 x 3 x 41 x 11 x 457 = 341313192

Therefore, the lowest common multiple of 184,207,492,253,457 is 341313192.

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.

184 x 207 x 492 x 253 x 457 = 2166656142816

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.

184 : 1, 2, 4, 8, 23, 46, 92, 184

207 : 1, 3, 9, 23, 69, 207

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

253 : 1, 11, 23, 253

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,207,492,253,457, is 1.

Now, the common factors can be found like this.

184:2x 2x 2x 23

207:3x 3x 23

492:2x 2x 3x 41

253:11x 23

457:457

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 23x 23 = 6348

Therefore, the value for common factors is 6348.

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 = 2166656142816/(1x6348)

LCM = 2166656142816/6348

LCM = 341313192

Thus, we can understand that the LCM of 184,207,492,253,457 is 341313192.

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

• LCM of 794, 635, 743, 773, 581
• LCM of 293, 871, 125, 858, 785
• LCM of 662, 638, 802, 936, 126
• LCM of 799, 571, 204, 739, 254
• LCM of 161, 550, 339, 624, 900

1. What is the LCM of 184, 207, 492, 253, 457?

Answer: LCM of 184, 207, 492, 253, 457 is 341313192.

2. How to calculate the LCM of 184, 207, 492, 253, 457?

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 184, 207, 492, 253, 457.

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}.