Given numbers are 460,393,208,186,318

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

The LCM of 460,393,208,186,318 is 15445120080.

Find LCM of 460,393,208,186,318 with Prime Factorization

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

2 x 2 x 3 x 115 x 131 x 52 x 31 x 53 = 15445120080

Therefore, the lowest common multiple of 460,393,208,186,318 is 15445120080.

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.

460 x 393 x 208 x 186 x 318 = 2224097291520

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

393 : 1, 3, 131, 393

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

186 : 1, 2, 3, 6, 31, 62, 93, 186

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,393,208,186,318, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

393:3x 131

208:2x 2x 2x 2x 13

186:2x 3x 31

318:2x 3x 53

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

2x 2x 2x 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 2224097291520/(1x144)

LCM = 2224097291520/144

LCM = 15445120080

Thus, we can understand that the LCM of 460,393,208,186,318 is 15445120080.

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

• LCM of 720, 743, 746, 922, 587
• LCM of 325, 791, 295, 537, 100
• LCM of 159, 306, 166, 506, 884
• LCM of 812, 718, 885, 608, 960
• LCM of 516, 768, 780, 892, 798

1. What is the LCM of 460, 393, 208, 186, 318?

Answer: LCM of 460, 393, 208, 186, 318 is 15445120080.

2. How to calculate the LCM of 460, 393, 208, 186, 318?

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 460, 393, 208, 186, 318.

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}.