Given numbers are 114,133,368,548

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

The LCM of 114,133,368,548 is 20115984.

Find LCM of 114,133,368,548 with Prime Factorization

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

2 x 2 x 19 x 3 x 7 x 92 x 137 = 20115984

Therefore, the lowest common multiple of 114,133,368,548 is 20115984.

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 133 x 368 x 548 = 3057629568

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

133 : 1, 7, 19, 133

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,133,368,548, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

133:7x 19

368:2x 2x 2x 2x 23

548:2x 2x 137

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 19 = 152

Therefore, the value for common factors is 152.

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 = 3057629568/(1x152)

LCM = 3057629568/152

LCM = 20115984

Thus, we can understand that the LCM of 114,133,368,548 is 20115984.

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

• LCM of 915, 273, 619, 372
• LCM of 545, 129, 377, 872
• LCM of 527, 179, 150, 445
• LCM of 729, 625, 980, 820
• LCM of 788, 848, 243, 813

1. What is the LCM of 114, 133, 368, 548?

Answer: LCM of 114, 133, 368, 548 is 20115984.

2. How to calculate the LCM of 114, 133, 368, 548?

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, 133, 368, 548.

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}.