Given numbers are 238,204,179,614

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

The LCM of 238,204,179,614 is 78472884.

Find LCM of 238,204,179,614 with Prime Factorization

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

2 x 17 x 7 x 6 x 179 x 307 = 78472884

Therefore, the lowest common multiple of 238,204,179,614 is 78472884.

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.

238 x 204 x 179 x 614 = 5336156112

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

179 : 1, 179

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,204,179,614, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

204:2x 2x 3x 17

179:179

614:2x 307

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 17 = 68

Therefore, the value for common factors is 68.

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 = 5336156112/(1x68)

LCM = 5336156112/68

LCM = 78472884

Thus, we can understand that the LCM of 238,204,179,614 is 78472884.

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

• LCM of 865, 892, 171, 888
• LCM of 673, 489, 497, 781
• LCM of 293, 776, 123, 225
• LCM of 401, 227, 310, 515
• LCM of 443, 599, 465, 127

1. What is the LCM of 238, 204, 179, 614?

Answer: LCM of 238, 204, 179, 614 is 78472884.

2. How to calculate the LCM of 238, 204, 179, 614?

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 238, 204, 179, 614.

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}.