Given numbers are 114,170,419,368

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

The LCM of 114,170,419,368 is 747060240.

Find LCM of 114,170,419,368 with Prime Factorization

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

2 x 57 x 85 x 419 x 184 = 747060240

Therefore, the lowest common multiple of 114,170,419,368 is 747060240.

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 170 x 419 x 368 = 2988240960

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

170 : 1, 2, 5, 10, 17, 34, 85, 170

419 : 1, 419

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,170,419,368, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

170:2x 5x 17

419:419

368:2x 2x 2x 2x 23

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 = 2988240960/(1x4)

LCM = 2988240960/4

LCM = 747060240

Thus, we can understand that the LCM of 114,170,419,368 is 747060240.

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

• LCM of 389, 404, 115, 901
• LCM of 654, 153, 143, 665
• LCM of 191, 701, 620, 914
• LCM of 140, 826, 544, 467
• LCM of 856, 604, 160, 260

1. What is the LCM of 114, 170, 419, 368?

Answer: LCM of 114, 170, 419, 368 is 747060240.

2. How to calculate the LCM of 114, 170, 419, 368?

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, 170, 419, 368.

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}.