Given numbers are 797,306,480,213,258

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

The LCM of 797,306,480,213,258 is 59565739680.

Find LCM of 797,306,480,213,258 with Prime Factorization

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

2 x 3 x 797 x 51 x 80 x 71 x 43 = 59565739680

Therefore, the lowest common multiple of 797,306,480,213,258 is 59565739680.

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.

797 x 306 x 480 x 213 x 258 = 6433099885440

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.

797 : 1, 797

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

213 : 1, 3, 71, 213

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,306,480,213,258, is 1.

Now, the common factors can be found like this.

797:797

306:2x 3x 3x 17

480:2x 2x 2x 2x 2x 3x 5

213:3x 71

258:2x 3x 43

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 3 = 108

Therefore, the value for common factors is 108.

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 = 6433099885440/(1x108)

LCM = 6433099885440/108

LCM = 59565739680

Thus, we can understand that the LCM of 797,306,480,213,258 is 59565739680.

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

• LCM of 105, 899, 894, 178, 627
• LCM of 142, 597, 581, 865, 157
• LCM of 806, 401, 570, 794, 215
• LCM of 117, 536, 237, 956, 462
• LCM of 142, 770, 233, 705, 719

1. What is the LCM of 797, 306, 480, 213, 258?

Answer: LCM of 797, 306, 480, 213, 258 is 59565739680.

2. How to calculate the LCM of 797, 306, 480, 213, 258?

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 797, 306, 480, 213, 258.

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}.