Given numbers are 674,628,311,253,750

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

The LCM of 674,628,311,253,750 is 6244558270500.

Find LCM of 674,628,311,253,750 with Prime Factorization

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

2 x 337 x 314 x 311 x 253 x 375 = 6244558270500

Therefore, the lowest common multiple of 674,628,311,253,750 is 6244558270500.

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.

674 x 628 x 311 x 253 x 750 = 24978233082000

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.

674 : 1, 2, 337, 674

628 : 1, 2, 4, 157, 314, 628

311 : 1, 311

253 : 1, 11, 23, 253

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,628,311,253,750, is 1.

Now, the common factors can be found like this.

674:2x 337

628:2x 2x 157

311:311

253:11x 23

750:2x 3x 5x 5x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 24978233082000/(1x4)

LCM = 24978233082000/4

LCM = 6244558270500

Thus, we can understand that the LCM of 674,628,311,253,750 is 6244558270500.

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

• LCM of 726, 215, 992, 661, 800
• LCM of 718, 128, 330, 338, 475
• LCM of 954, 444, 473, 635, 358
• LCM of 909, 820, 203, 852, 857
• LCM of 218, 296, 870, 618, 113

1. What is the LCM of 674, 628, 311, 253, 750?

Answer: LCM of 674, 628, 311, 253, 750 is 6244558270500.

2. How to calculate the LCM of 674, 628, 311, 253, 750?

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 674, 628, 311, 253, 750.

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}.