Given numbers are 460,143,138,257

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

The LCM of 460,143,138,257 is 50716380.

Find LCM of 460,143,138,257 with Prime Factorization

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

2 x 23 x 10 x 143 x 3 x 257 = 50716380

Therefore, the lowest common multiple of 460,143,138,257 is 50716380.

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.

460 x 143 x 138 x 257 = 2332953480

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

143 : 1, 11, 13, 143

138 : 1, 2, 3, 6, 23, 46, 69, 138

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,143,138,257, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

143:11x 13

138:2x 3x 23

257:257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 2332953480/(1x46)

LCM = 2332953480/46

LCM = 50716380

Thus, we can understand that the LCM of 460,143,138,257 is 50716380.

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

• LCM of 972, 631, 974, 935
• LCM of 250, 925, 315, 844
• LCM of 426, 603, 513, 374
• LCM of 930, 762, 594, 457
• LCM of 114, 430, 424, 326

1. What is the LCM of 460, 143, 138, 257?

Answer: LCM of 460, 143, 138, 257 is 50716380.

2. How to calculate the LCM of 460, 143, 138, 257?

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 460, 143, 138, 257.

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}.