Given numbers are 726,186,345,387,770

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

The LCM of 726,186,345,387,770 is 2337135570.

Find LCM of 726,186,345,387,770 with Prime Factorization

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

2 x 3 x 5 x 11 x 11 x 31 x 23 x 129 x 7 = 2337135570

Therefore, the lowest common multiple of 726,186,345,387,770 is 2337135570.

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 186 x 345 x 387 x 770 = 13882585285800

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

186 : 1, 2, 3, 6, 31, 62, 93, 186

345 : 1, 3, 5, 15, 23, 69, 115, 345

387 : 1, 3, 9, 43, 129, 387

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,186,345,387,770, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

186:2x 3x 31

345:3x 5x 23

387:3x 3x 43

770:2x 5x 7x 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 3x 3x 3x 5x 11 = 5940

Therefore, the value for common factors is 5940.

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 = 13882585285800/(1x5940)

LCM = 13882585285800/5940

LCM = 2337135570

Thus, we can understand that the LCM of 726,186,345,387,770 is 2337135570.

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

• LCM of 521, 562, 102, 727, 640
• LCM of 627, 321, 832, 866, 575
• LCM of 314, 614, 801, 342, 589
• LCM of 857, 617, 654, 663, 524
• LCM of 595, 965, 718, 247, 720

1. What is the LCM of 726, 186, 345, 387, 770?

Answer: LCM of 726, 186, 345, 387, 770 is 2337135570.

2. How to calculate the LCM of 726, 186, 345, 387, 770?

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, 186, 345, 387, 770.

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}.