Given numbers are 723,133,116,420,186

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

The LCM of 723,133,116,420,186 is 1728938820.

Find LCM of 723,133,116,420,186 with Prime Factorization

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

2 x 2 x 3 x 7 x 241 x 19 x 29 x 5 x 31 = 1728938820

Therefore, the lowest common multiple of 723,133,116,420,186 is 1728938820.

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.

723 x 133 x 116 x 420 x 186 = 871385165280

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.

723 : 1, 3, 241, 723

133 : 1, 7, 19, 133

116 : 1, 2, 4, 29, 58, 116

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,133,116,420,186, is 1.

Now, the common factors can be found like this.

723:3x 241

133:7x 19

116:2x 2x 29

420:2x 2x 3x 5x 7

186:2x 3x 31

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 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 871385165280/(1x504)

LCM = 871385165280/504

LCM = 1728938820

Thus, we can understand that the LCM of 723,133,116,420,186 is 1728938820.

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

• LCM of 960, 163, 460, 101, 922
• LCM of 785, 547, 609, 868, 963
• LCM of 706, 805, 469, 209, 129
• LCM of 418, 564, 295, 849, 418
• LCM of 570, 320, 645, 758, 406

1. What is the LCM of 723, 133, 116, 420, 186?

Answer: LCM of 723, 133, 116, 420, 186 is 1728938820.

2. How to calculate the LCM of 723, 133, 116, 420, 186?

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 723, 133, 116, 420, 186.

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}.