Given numbers are 488,229,567,351

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

The LCM of 488,229,567,351 is 823723992.

Find LCM of 488,229,567,351 with Prime Factorization

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

3 x 3 x 3 x 488 x 229 x 21 x 13 = 823723992

Therefore, the lowest common multiple of 488,229,567,351 is 823723992.

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.

488 x 229 x 567 x 351 = 22240547784

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

229 : 1, 229

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,229,567,351, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

229:229

567:3x 3x 3x 3x 7

351:3x 3x 3x 13

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 22240547784/(1x27)

LCM = 22240547784/27

LCM = 823723992

Thus, we can understand that the LCM of 488,229,567,351 is 823723992.

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

• LCM of 714, 281, 428, 202
• LCM of 983, 675, 990, 818
• LCM of 918, 373, 538, 360
• LCM of 225, 267, 602, 588
• LCM of 602, 210, 761, 949

1. What is the LCM of 488, 229, 567, 351?

Answer: LCM of 488, 229, 567, 351 is 823723992.

2. How to calculate the LCM of 488, 229, 567, 351?

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 488, 229, 567, 351.

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}.