Given numbers are 874,721,648,561,338

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

The LCM of 874,721,648,561,338 is 6452381223288.

Find LCM of 874,721,648,561,338 with Prime Factorization

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

2 x 3 x 437 x 721 x 108 x 187 x 169 = 6452381223288

Therefore, the lowest common multiple of 874,721,648,561,338 is 6452381223288.

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 721 x 648 x 561 x 338 = 77428574679456

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

721 : 1, 7, 103, 721

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

561 : 1, 3, 11, 17, 33, 51, 187, 561

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,721,648,561,338, is 1.

Now, the common factors can be found like this.

874:2x 19x 23

721:7x 103

648:2x 2x 2x 3x 3x 3x 3

561:3x 11x 17

338:2x 13x 13

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 3 = 12

Therefore, the value for common factors is 12.

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 = 77428574679456/(1x12)

LCM = 77428574679456/12

LCM = 6452381223288

Thus, we can understand that the LCM of 874,721,648,561,338 is 6452381223288.

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

• LCM of 399, 522, 616, 329, 695
• LCM of 805, 293, 143, 555, 364
• LCM of 964, 971, 483, 551, 683
• LCM of 543, 710, 829, 800, 337
• LCM of 924, 117, 690, 508, 811

1. What is the LCM of 874, 721, 648, 561, 338?

Answer: LCM of 874, 721, 648, 561, 338 is 6452381223288.

2. How to calculate the LCM of 874, 721, 648, 561, 338?

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, 721, 648, 561, 338.

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}.