Given numbers are 254,302,142,284

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

The LCM of 254,302,142,284 is 5446268.

Find LCM of 254,302,142,284 with Prime Factorization

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

2 x 71 x 127 x 151 x 1 x 2 = 5446268

Therefore, the lowest common multiple of 254,302,142,284 is 5446268.

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.

254 x 302 x 142 x 284 = 3093480224

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.

254 : 1, 2, 127, 254

302 : 1, 2, 151, 302

142 : 1, 2, 71, 142

284 : 1, 2, 4, 71, 142, 284

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,302,142,284, is 2.

Now, the common factors can be found like this.

254:2x 127

302:2x 151

142:2x 71

284:2x 2x 71

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 71 = 284

Therefore, the value for common factors is 284.

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 = 3093480224/(2x284)

LCM = 3093480224/568

LCM = 5446268

Thus, we can understand that the LCM of 254,302,142,284 is 5446268.

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

• LCM of 478, 362, 184, 716
• LCM of 612, 677, 460, 965
• LCM of 341, 883, 160, 678
• LCM of 773, 821, 253, 903
• LCM of 568, 937, 153, 690

1. What is the LCM of 254, 302, 142, 284?

Answer: LCM of 254, 302, 142, 284 is 5446268.

2. How to calculate the LCM of 254, 302, 142, 284?

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 254, 302, 142, 284.

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}.