Given numbers are 874,970,594,313,258

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

The LCM of 874,970,594,313,258 is 1694425246470.

Find LCM of 874,970,594,313,258 with Prime Factorization

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

2 x 3 x 437 x 485 x 99 x 313 x 43 = 1694425246470

Therefore, the lowest common multiple of 874,970,594,313,258 is 1694425246470.

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.

874 x 970 x 594 x 313 x 258 = 40666205915280

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

970 : 1, 2, 5, 10, 97, 194, 485, 970

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

313 : 1, 313

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,970,594,313,258, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

970:2x 5x 97

594:2x 3x 3x 3x 11

313:313

258:2x 3x 43

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 = 40666205915280/(1x24)

LCM = 40666205915280/24

LCM = 1694425246470

Thus, we can understand that the LCM of 874,970,594,313,258 is 1694425246470.

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

• LCM of 546, 680, 404, 770, 748
• LCM of 983, 295, 295, 181, 912
• LCM of 743, 914, 602, 180, 815
• LCM of 567, 901, 241, 740, 823
• LCM of 636, 932, 600, 813, 518

1. What is the LCM of 874, 970, 594, 313, 258?

Answer: LCM of 874, 970, 594, 313, 258 is 1694425246470.

2. How to calculate the LCM of 874, 970, 594, 313, 258?

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 874, 970, 594, 313, 258.

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}.