Given numbers are 126,304,514

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

The LCM of 126,304,514 is 4922064.

Find LCM of 126,304,514 with Prime Factorization

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

2 x 63 x 152 x 257 = 4922064

Therefore, the lowest common multiple of 126,304,514 is 4922064.

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 304 x 514 = 19688256

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,304,514, is 2.

Now, the common factors can be found like this.

126:2x 3x 3x 7

304:2x 2x 2x 2x 19

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.

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 = 19688256/(2x2)

LCM = 19688256/4

LCM = 4922064

Thus, we can understand that the LCM of 126,304,514 is 4922064.

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

• LCM of 560, 378, 590
• LCM of 494, 480, 267
• LCM of 681, 392, 232
• LCM of 594, 479, 360
• LCM of 503, 186, 407

1. What is the LCM of 126, 304, 514?

Answer: LCM of 126, 304, 514 is 4922064.

2. How to calculate the LCM of 126, 304, 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 126, 304, 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}.