Given numbers are 257,136,170,514

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

The LCM of 257,136,170,514 is 174760.

Find LCM of 257,136,170,514 with Prime Factorization

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

2 x 17 x 257 x 1 x 4 x 5 x 1 = 174760

Therefore, the lowest common multiple of 257,136,170,514 is 174760.

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 136 x 170 x 514 = 3054105760

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

136 : 1, 2, 4, 8, 17, 34, 68, 136

170 : 1, 2, 5, 10, 17, 34, 85, 170

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,136,170,514, is 1.

Now, the common factors can be found like this.

257:257

136:2x 2x 2x 17

170:2x 5x 17

514:2x 257

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 17x 257 = 17476

Therefore, the value for common factors is 17476.

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 = 3054105760/(1x17476)

LCM = 3054105760/17476

LCM = 174760

Thus, we can understand that the LCM of 257,136,170,514 is 174760.

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

• LCM of 113, 332, 969, 159
• LCM of 168, 596, 907, 854
• LCM of 427, 538, 231, 982
• LCM of 162, 680, 261, 240
• LCM of 384, 493, 248, 615

1. What is the LCM of 257, 136, 170, 514?

Answer: LCM of 257, 136, 170, 514 is 174760.

2. How to calculate the LCM of 257, 136, 170, 514?

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, 136, 170, 514.

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}.