Given numbers are 114,630,624,422

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

The LCM of 114,630,624,422 is 262669680.

Find LCM of 114,630,624,422 with Prime Factorization

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

2 x 3 x 19 x 105 x 104 x 211 = 262669680

Therefore, the lowest common multiple of 114,630,624,422 is 262669680.

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 630 x 624 x 422 = 18912216960

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

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,630,624,422, is 2.

Now, the common factors can be found like this.

114:2x 3x 19

630:2x 3x 3x 5x 7

624:2x 2x 2x 2x 3x 13

422:2x 211

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 3 = 36

Therefore, the value for common factors is 36.

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 = 18912216960/(2x36)

LCM = 18912216960/72

LCM = 262669680

Thus, we can understand that the LCM of 114,630,624,422 is 262669680.

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

• LCM of 959, 759, 988, 665
• LCM of 426, 584, 807, 174
• LCM of 634, 694, 367, 615
• LCM of 313, 205, 400, 934
• LCM of 993, 601, 938, 900

1. What is the LCM of 114, 630, 624, 422?

Answer: LCM of 114, 630, 624, 422 is 262669680.

2. How to calculate the LCM of 114, 630, 624, 422?

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, 630, 624, 422.

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}.