Given numbers are 266,742,314,255,592

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

The LCM of 266,742,314,255,592 is 167066375280.

Find LCM of 266,742,314,255,592 with Prime Factorization

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

2 x 7 x 19 x 53 x 157 x 255 x 296 = 167066375280

Therefore, the lowest common multiple of 266,742,314,255,592 is 167066375280.

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.

266 x 742 x 314 x 255 x 592 = 9355717015680

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.

266 : 1, 2, 7, 14, 19, 38, 133, 266

742 : 1, 2, 7, 14, 53, 106, 371, 742

314 : 1, 2, 157, 314

255 : 1, 3, 5, 15, 17, 51, 85, 255

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,742,314,255,592, is 1.

Now, the common factors can be found like this.

266:2x 7x 19

742:2x 7x 53

314:2x 157

255:3x 5x 17

592:2x 2x 2x 2x 37

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 2x 7 = 56

Therefore, the value for common factors is 56.

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 = 9355717015680/(1x56)

LCM = 9355717015680/56

LCM = 167066375280

Thus, we can understand that the LCM of 266,742,314,255,592 is 167066375280.

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

• LCM of 602, 290, 375, 773, 583
• LCM of 828, 777, 223, 299, 411
• LCM of 378, 449, 819, 725, 123
• LCM of 622, 894, 791, 807, 355
• LCM of 431, 614, 151, 106, 950

1. What is the LCM of 266, 742, 314, 255, 592?

Answer: LCM of 266, 742, 314, 255, 592 is 167066375280.

2. How to calculate the LCM of 266, 742, 314, 255, 592?

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 266, 742, 314, 255, 592.

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}.