Given numbers are 126,43,416,257

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

The LCM of 126,43,416,257 is 289624608.

Find LCM of 126,43,416,257 with Prime Factorization

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

2 x 63 x 43 x 208 x 257 = 289624608

Therefore, the lowest common multiple of 126,43,416,257 is 289624608.

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.

126 x 43 x 416 x 257 = 579249216

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.

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

43 : 1, 43

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,43,416,257, is 1.

Now, the common factors can be found like this.

126:2x 3x 3x 7

43:43

416:2x 2x 2x 2x 2x 13

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 579249216/(1x2)

LCM = 579249216/2

LCM = 289624608

Thus, we can understand that the LCM of 126,43,416,257 is 289624608.

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

• LCM of 927, 26, 926, 934
• LCM of 307, 54, 994, 636
• LCM of 191, 32, 737, 947
• LCM of 586, 39, 849, 325
• LCM of 277, 13, 673, 449

1. What is the LCM of 126, 43, 416, 257?

Answer: LCM of 126, 43, 416, 257 is 289624608.

2. How to calculate the LCM of 126, 43, 416, 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 126, 43, 416, 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}.