Given numbers are 301,480,605,682

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

The LCM of 301,480,605,682 is 541944480.

Find LCM of 301,480,605,682 with Prime Factorization

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

2 x 5 x 11 x 301 x 48 x 11 x 31 = 541944480

Therefore, the lowest common multiple of 301,480,605,682 is 541944480.

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.

301 x 480 x 605 x 682 = 59613892800

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.

301 : 1, 7, 43, 301

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

605 : 1, 5, 11, 55, 121, 605

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,480,605,682, is 1.

Now, the common factors can be found like this.

301:7x 43

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

605:5x 11x 11

682:2x 11x 31

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 59613892800/(1x110)

LCM = 59613892800/110

LCM = 541944480

Thus, we can understand that the LCM of 301,480,605,682 is 541944480.

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

• LCM of 955, 686, 869, 445
• LCM of 428, 300, 545, 302
• LCM of 788, 366, 590, 400
• LCM of 982, 747, 357, 633
• LCM of 476, 575, 345, 180

1. What is the LCM of 301, 480, 605, 682?

Answer: LCM of 301, 480, 605, 682 is 541944480.

2. How to calculate the LCM of 301, 480, 605, 682?

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 301, 480, 605, 682.

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}.