Given numbers are 460,574,749,242,726

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

The LCM of 460,574,749,242,726 is 5127788820.

Find LCM of 460,574,749,242,726 with Prime Factorization

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

2 x 7 x 11 x 11 x 230 x 41 x 107 x 1 x 3 = 5127788820

Therefore, the lowest common multiple of 460,574,749,242,726 is 5127788820.

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 574 x 749 x 242 x 726 = 34745897044320

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

574 : 1, 2, 7, 14, 41, 82, 287, 574

749 : 1, 7, 107, 749

242 : 1, 2, 11, 22, 121, 242

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,574,749,242,726, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

574:2x 7x 41

749:7x 107

242:2x 11x 11

726:2x 3x 11x 11

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 7x 11x 11 = 6776

Therefore, the value for common factors is 6776.

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 = 34745897044320/(1x6776)

LCM = 34745897044320/6776

LCM = 5127788820

Thus, we can understand that the LCM of 460,574,749,242,726 is 5127788820.

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

• LCM of 766, 664, 584, 107, 649
• LCM of 213, 566, 148, 707, 500
• LCM of 215, 913, 339, 711, 232
• LCM of 241, 603, 846, 990, 200
• LCM of 266, 642, 935, 195, 239

1. What is the LCM of 460, 574, 749, 242, 726?

Answer: LCM of 460, 574, 749, 242, 726 is 5127788820.

2. How to calculate the LCM of 460, 574, 749, 242, 726?

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, 574, 749, 242, 726.

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}.