Given numbers are 305,544,464,938,480

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

The LCM of 305,544,464,938,480 is 6770033760.

Find LCM of 305,544,464,938,480 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 61 x 17 x 29 x 469 x 3 = 6770033760

Therefore, the lowest common multiple of 305,544,464,938,480 is 6770033760.

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.

305 x 544 x 464 x 938 x 480 = 34662572851200

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.

305 : 1, 5, 61, 305

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

938 : 1, 2, 7, 14, 67, 134, 469, 938

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,544,464,938,480, is 1.

Now, the common factors can be found like this.

305:5x 61

544:2x 2x 2x 2x 2x 17

464:2x 2x 2x 2x 29

938:2x 7x 67

480:2x 2x 2x 2x 2x 3x 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 2x 2x 2x 2x 2x 2x 2x 2x 5 = 5120

Therefore, the value for common factors is 5120.

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 = 34662572851200/(1x5120)

LCM = 34662572851200/5120

LCM = 6770033760

Thus, we can understand that the LCM of 305,544,464,938,480 is 6770033760.

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

• LCM of 258, 279, 527, 400, 768
• LCM of 996, 801, 400, 915, 704
• LCM of 848, 555, 724, 510, 124
• LCM of 540, 730, 503, 878, 419
• LCM of 138, 554, 237, 892, 630

1. What is the LCM of 305, 544, 464, 938, 480?

Answer: LCM of 305, 544, 464, 938, 480 is 6770033760.

2. How to calculate the LCM of 305, 544, 464, 938, 480?

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 305, 544, 464, 938, 480.

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}.