Given numbers are 238,281,214,254

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

The LCM of 238,281,214,254 is 908805142.

Find LCM of 238,281,214,254 with Prime Factorization

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

2 x 119 x 281 x 107 x 127 = 908805142

Therefore, the lowest common multiple of 238,281,214,254 is 908805142.

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 281 x 214 x 254 = 3635220568

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

281 : 1, 281

214 : 1, 2, 107, 214

254 : 1, 2, 127, 254

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,281,214,254, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

281:281

214:2x 107

254:2x 127

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 = 3635220568/(1x4)

LCM = 3635220568/4

LCM = 908805142

Thus, we can understand that the LCM of 238,281,214,254 is 908805142.

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

• LCM of 887, 883, 596, 889
• LCM of 274, 483, 525, 510
• LCM of 341, 749, 513, 673
• LCM of 880, 315, 451, 284
• LCM of 551, 216, 786, 860

1. What is the LCM of 238, 281, 214, 254?

Answer: LCM of 238, 281, 214, 254 is 908805142.

2. How to calculate the LCM of 238, 281, 214, 254?

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, 281, 214, 254.

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}.