Given numbers are 735,204,878,317

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

The LCM of 735,204,878,317 is 6955366740.

Find LCM of 735,204,878,317 with Prime Factorization

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

2 x 3 x 245 x 34 x 439 x 317 = 6955366740

Therefore, the lowest common multiple of 735,204,878,317 is 6955366740.

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.

735 x 204 x 878 x 317 = 41732200440

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

878 : 1, 2, 439, 878

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,204,878,317, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

204:2x 2x 3x 17

878:2x 439

317:317

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 41732200440/(1x6)

LCM = 41732200440/6

LCM = 6955366740

Thus, we can understand that the LCM of 735,204,878,317 is 6955366740.

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

• LCM of 263, 717, 785, 651
• LCM of 422, 726, 242, 862
• LCM of 753, 186, 548, 887
• LCM of 986, 711, 806, 419
• LCM of 861, 266, 126, 941

1. What is the LCM of 735, 204, 878, 317?

Answer: LCM of 735, 204, 878, 317 is 6955366740.

2. How to calculate the LCM of 735, 204, 878, 317?

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 735, 204, 878, 317.

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}.