Given numbers are 817,308,121,454

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

The LCM of 817,308,121,454 is 628335092.

Find LCM of 817,308,121,454 with Prime Factorization

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

2 x 11 x 817 x 14 x 11 x 227 = 628335092

Therefore, the lowest common multiple of 817,308,121,454 is 628335092.

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.

817 x 308 x 121 x 454 = 13823372024

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.

817 : 1, 19, 43, 817

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

121 : 1, 11, 121

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,308,121,454, is 1.

Now, the common factors can be found like this.

817:19x 43

308:2x 2x 7x 11

121:11x 11

454:2x 227

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 13823372024/(1x22)

LCM = 13823372024/22

LCM = 628335092

Thus, we can understand that the LCM of 817,308,121,454 is 628335092.

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

• LCM of 577, 263, 111, 382
• LCM of 432, 320, 374, 581
• LCM of 321, 347, 196, 847
• LCM of 215, 960, 769, 172
• LCM of 748, 503, 656, 784

1. What is the LCM of 817, 308, 121, 454?

Answer: LCM of 817, 308, 121, 454 is 628335092.

2. How to calculate the LCM of 817, 308, 121, 454?

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 817, 308, 121, 454.

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}.