Given numbers are 726,218,261,434,652

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

The LCM of 726,218,261,434,652 is 487034476236.

Find LCM of 726,218,261,434,652 with Prime Factorization

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

2 x 3 x 121 x 109 x 87 x 217 x 326 = 487034476236

Therefore, the lowest common multiple of 726,218,261,434,652 is 487034476236.

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.

726 x 218 x 261 x 434 x 652 = 11688827429664

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.

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

218 : 1, 2, 109, 218

261 : 1, 3, 9, 29, 87, 261

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

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,218,261,434,652, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

218:2x 109

261:3x 3x 29

434:2x 7x 31

652:2x 2x 163

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 = 11688827429664/(1x24)

LCM = 11688827429664/24

LCM = 487034476236

Thus, we can understand that the LCM of 726,218,261,434,652 is 487034476236.

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

• LCM of 745, 526, 933, 339, 623
• LCM of 948, 158, 190, 764, 271
• LCM of 324, 165, 686, 571, 634
• LCM of 436, 930, 377, 124, 758
• LCM of 130, 600, 500, 590, 748

1. What is the LCM of 726, 218, 261, 434, 652?

Answer: LCM of 726, 218, 261, 434, 652 is 487034476236.

2. How to calculate the LCM of 726, 218, 261, 434, 652?

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 726, 218, 261, 434, 652.

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}.