Given numbers are 238,428,379,321,310

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

The LCM of 238,428,379,321,310 is 8976001020.

Find LCM of 238,428,379,321,310 with Prime Factorization

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

2 x 107 x 119 x 2 x 379 x 3 x 155 = 8976001020

Therefore, the lowest common multiple of 238,428,379,321,310 is 8976001020.

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 428 x 379 x 321 x 310 = 3841728436560

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

428 : 1, 2, 4, 107, 214, 428

379 : 1, 379

321 : 1, 3, 107, 321

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,428,379,321,310, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

428:2x 2x 107

379:379

321:3x 107

310:2x 5x 31

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 107 = 428

Therefore, the value for common factors is 428.

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 = 3841728436560/(1x428)

LCM = 3841728436560/428

LCM = 8976001020

Thus, we can understand that the LCM of 238,428,379,321,310 is 8976001020.

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

• LCM of 488, 811, 157, 472, 546
• LCM of 569, 267, 995, 548, 804
• LCM of 356, 217, 255, 766, 433
• LCM of 287, 456, 394, 625, 478
• LCM of 254, 212, 604, 634, 529

1. What is the LCM of 238, 428, 379, 321, 310?

Answer: LCM of 238, 428, 379, 321, 310 is 8976001020.

2. How to calculate the LCM of 238, 428, 379, 321, 310?

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, 428, 379, 321, 310.

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}.