Given numbers are 257,274,214,280

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

The LCM of 257,274,214,280 is 1054861640.

Find LCM of 257,274,214,280 with Prime Factorization

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

2 x 257 x 137 x 107 x 140 = 1054861640

Therefore, the lowest common multiple of 257,274,214,280 is 1054861640.

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.

257 x 274 x 214 x 280 = 4219446560

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.

257 : 1, 257

274 : 1, 2, 137, 274

214 : 1, 2, 107, 214

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,274,214,280, is 1.

Now, the common factors can be found like this.

257:257

274:2x 137

214:2x 107

280:2x 2x 2x 5x 7

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 = 4219446560/(1x4)

LCM = 4219446560/4

LCM = 1054861640

Thus, we can understand that the LCM of 257,274,214,280 is 1054861640.

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

• LCM of 906, 314, 616, 583
• LCM of 109, 801, 897, 492
• LCM of 520, 851, 953, 171
• LCM of 107, 404, 303, 644
• LCM of 824, 224, 942, 290

1. What is the LCM of 257, 274, 214, 280?

Answer: LCM of 257, 274, 214, 280 is 1054861640.

2. How to calculate the LCM of 257, 274, 214, 280?

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 257, 274, 214, 280.

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}.