Given numbers are 381,246,986,338,310

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

The LCM of 381,246,986,338,310 is 403463405670.

Find LCM of 381,246,986,338,310 with Prime Factorization

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

2 x 3 x 127 x 41 x 493 x 169 x 155 = 403463405670

Therefore, the lowest common multiple of 381,246,986,338,310 is 403463405670.

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.

381 x 246 x 986 x 338 x 310 = 9683121736080

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.

381 : 1, 3, 127, 381

246 : 1, 2, 3, 6, 41, 82, 123, 246

986 : 1, 2, 17, 29, 34, 58, 493, 986

338 : 1, 2, 13, 26, 169, 338

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,246,986,338,310, is 1.

Now, the common factors can be found like this.

381:3x 127

246:2x 3x 41

986:2x 17x 29

338:2x 13x 13

310:2x 5x 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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 9683121736080/(1x24)

LCM = 9683121736080/24

LCM = 403463405670

Thus, we can understand that the LCM of 381,246,986,338,310 is 403463405670.

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

• LCM of 823, 558, 548, 934, 258
• LCM of 857, 850, 617, 847, 168
• LCM of 737, 941, 138, 926, 412
• LCM of 520, 674, 731, 811, 535
• LCM of 470, 208, 729, 260, 434

1. What is the LCM of 381, 246, 986, 338, 310?

Answer: LCM of 381, 246, 986, 338, 310 is 403463405670.

2. How to calculate the LCM of 381, 246, 986, 338, 310?

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 381, 246, 986, 338, 310.

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}.