Given numbers are 114,241,590,764

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

The LCM of 114,241,590,764 is 3096045060.

Find LCM of 114,241,590,764 with Prime Factorization

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

2 x 57 x 241 x 295 x 382 = 3096045060

Therefore, the lowest common multiple of 114,241,590,764 is 3096045060.

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.

114 x 241 x 590 x 764 = 12384180240

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

241 : 1, 241

590 : 1, 2, 5, 10, 59, 118, 295, 590

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,241,590,764, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

241:241

590:2x 5x 59

764:2x 2x 191

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 12384180240/(1x4)

LCM = 12384180240/4

LCM = 3096045060

Thus, we can understand that the LCM of 114,241,590,764 is 3096045060.

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

• LCM of 620, 867, 385, 105
• LCM of 929, 210, 118, 920
• LCM of 278, 984, 866, 970
• LCM of 282, 659, 886, 783
• LCM of 857, 676, 794, 552

1. What is the LCM of 114, 241, 590, 764?

Answer: LCM of 114, 241, 590, 764 is 3096045060.

2. How to calculate the LCM of 114, 241, 590, 764?

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 114, 241, 590, 764.

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}.