Given numbers are 492,440,151,771,225

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

The LCM of 492,440,151,771,225 is 31503522600.

Find LCM of 492,440,151,771,225 with Prime Factorization

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

2 x 2 x 3 x 5 x 41 x 22 x 151 x 257 x 15 = 31503522600

Therefore, the lowest common multiple of 492,440,151,771,225 is 31503522600.

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.

492 x 440 x 151 x 771 x 225 = 5670634068000

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.

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

151 : 1, 151

771 : 1, 3, 257, 771

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,440,151,771,225, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

440:2x 2x 2x 5x 11

151:151

771:3x 257

225:3x 3x 5x 5

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 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 5670634068000/(1x180)

LCM = 5670634068000/180

LCM = 31503522600

Thus, we can understand that the LCM of 492,440,151,771,225 is 31503522600.

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

• LCM of 229, 907, 251, 611, 723
• LCM of 824, 830, 134, 662, 408
• LCM of 207, 146, 633, 672, 641
• LCM of 370, 224, 451, 379, 416
• LCM of 432, 289, 120, 666, 885

1. What is the LCM of 492, 440, 151, 771, 225?

Answer: LCM of 492, 440, 151, 771, 225 is 31503522600.

2. How to calculate the LCM of 492, 440, 151, 771, 225?

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 492, 440, 151, 771, 225.

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}.