Given numbers are 305,782,214,703,685

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

The LCM of 305,782,214,703,685 is 2457911617270.

Find LCM of 305,782,214,703,685 with Prime Factorization

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

2 x 5 x 61 x 391 x 107 x 703 x 137 = 2457911617270

Therefore, the lowest common multiple of 305,782,214,703,685 is 2457911617270.

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 782 x 214 x 703 x 685 = 24579116172700

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

214 : 1, 2, 107, 214

703 : 1, 19, 37, 703

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,782,214,703,685, is 1.

Now, the common factors can be found like this.

305:5x 61

782:2x 17x 23

214:2x 107

703:19x 37

685:5x 137

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 = 24579116172700/(1x10)

LCM = 24579116172700/10

LCM = 2457911617270

Thus, we can understand that the LCM of 305,782,214,703,685 is 2457911617270.

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

• LCM of 175, 975, 265, 521, 221
• LCM of 712, 305, 835, 312, 527
• LCM of 193, 600, 847, 216, 825
• LCM of 280, 463, 622, 543, 956
• LCM of 302, 934, 284, 480, 928

1. What is the LCM of 305, 782, 214, 703, 685?

Answer: LCM of 305, 782, 214, 703, 685 is 2457911617270.

2. How to calculate the LCM of 305, 782, 214, 703, 685?

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, 782, 214, 703, 685.

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}.