Given numbers are 318,680,245,673,407

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

The LCM of 318,680,245,673,407 is 1451147608680.

Find LCM of 318,680,245,673,407 with Prime Factorization

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

2 x 5 x 159 x 68 x 49 x 673 x 407 = 1451147608680

Therefore, the lowest common multiple of 318,680,245,673,407 is 1451147608680.

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.

318 x 680 x 245 x 673 x 407 = 14511476086800

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.

318 : 1, 2, 3, 6, 53, 106, 159, 318

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

245 : 1, 5, 7, 35, 49, 245

673 : 1, 673

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,680,245,673,407, is 1.

Now, the common factors can be found like this.

318:2x 3x 53

680:2x 2x 2x 5x 17

245:5x 7x 7

673:673

407:11x 37

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 14511476086800/(1x10)

LCM = 14511476086800/10

LCM = 1451147608680

Thus, we can understand that the LCM of 318,680,245,673,407 is 1451147608680.

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

• LCM of 577, 656, 991, 472, 180
• LCM of 328, 962, 827, 676, 588
• LCM of 799, 510, 485, 645, 175
• LCM of 427, 969, 562, 715, 973
• LCM of 809, 981, 694, 416, 301

1. What is the LCM of 318, 680, 245, 673, 407?

Answer: LCM of 318, 680, 245, 673, 407 is 1451147608680.

2. How to calculate the LCM of 318, 680, 245, 673, 407?

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 318, 680, 245, 673, 407.

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}.