Given numbers are 457,434,310,982

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

The LCM of 457,434,310,982 is 486919790.

Find LCM of 457,434,310,982 with Prime Factorization

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

2 x 31 x 457 x 7 x 5 x 491 = 486919790

Therefore, the lowest common multiple of 457,434,310,982 is 486919790.

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.

457 x 434 x 310 x 982 = 60378053960

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.

457 : 1, 457

434 : 1, 2, 7, 14, 31, 62, 217, 434

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

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,434,310,982, is 1.

Now, the common factors can be found like this.

457:457

434:2x 7x 31

310:2x 5x 31

982:2x 491

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 31 = 124

Therefore, the value for common factors is 124.

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 = 60378053960/(1x124)

LCM = 60378053960/124

LCM = 486919790

Thus, we can understand that the LCM of 457,434,310,982 is 486919790.

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

• LCM of 258, 430, 833, 655
• LCM of 183, 259, 189, 421
• LCM of 332, 952, 264, 882
• LCM of 676, 584, 539, 868
• LCM of 272, 368, 709, 330

1. What is the LCM of 457, 434, 310, 982?

Answer: LCM of 457, 434, 310, 982 is 486919790.

2. How to calculate the LCM of 457, 434, 310, 982?

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 457, 434, 310, 982.

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}.