Given numbers are 614,253,466,230

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

The LCM of 614,253,466,230 is 180973430.

Find LCM of 614,253,466,230 with Prime Factorization

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

2 x 23 x 307 x 11 x 233 x 5 = 180973430

Therefore, the lowest common multiple of 614,253,466,230 is 180973430.

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.

614 x 253 x 466 x 230 = 16649555560

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.

614 : 1, 2, 307, 614

253 : 1, 11, 23, 253

466 : 1, 2, 233, 466

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,253,466,230, is 1.

Now, the common factors can be found like this.

614:2x 307

253:11x 23

466:2x 233

230:2x 5x 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 2x 23 = 92

Therefore, the value for common factors is 92.

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 = 16649555560/(1x92)

LCM = 16649555560/92

LCM = 180973430

Thus, we can understand that the LCM of 614,253,466,230 is 180973430.

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

• LCM of 954, 564, 723, 167
• LCM of 507, 894, 146, 568
• LCM of 107, 822, 344, 196
• LCM of 636, 575, 143, 110
• LCM of 696, 873, 354, 668

1. What is the LCM of 614, 253, 466, 230?

Answer: LCM of 614, 253, 466, 230 is 180973430.

2. How to calculate the LCM of 614, 253, 466, 230?

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 614, 253, 466, 230.

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}.