Given numbers are 480,194,848,307,610

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

The LCM of 480,194,848,307,610 is 46212243360.

Find LCM of 480,194,848,307,610 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 6 x 97 x 53 x 307 x 61 = 46212243360

Therefore, the lowest common multiple of 480,194,848,307,610 is 46212243360.

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.

480 x 194 x 848 x 307 x 610 = 14787917875200

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.

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

194 : 1, 2, 97, 194

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

307 : 1, 307

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,194,848,307,610, is 1.

Now, the common factors can be found like this.

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

194:2x 97

848:2x 2x 2x 2x 53

307:307

610:2x 5x 61

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 2x 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 14787917875200/(1x320)

LCM = 14787917875200/320

LCM = 46212243360

Thus, we can understand that the LCM of 480,194,848,307,610 is 46212243360.

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

• LCM of 377, 476, 751, 715, 818
• LCM of 540, 632, 579, 666, 805
• LCM of 960, 635, 733, 912, 973
• LCM of 415, 570, 567, 150, 242
• LCM of 765, 307, 120, 293, 568

1. What is the LCM of 480, 194, 848, 307, 610?

Answer: LCM of 480, 194, 848, 307, 610 is 46212243360.

2. How to calculate the LCM of 480, 194, 848, 307, 610?

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 480, 194, 848, 307, 610.

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}.