Given numbers are 266,208,257,978

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

The LCM of 266,208,257,978 is 3476617872.

Find LCM of 266,208,257,978 with Prime Factorization

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

2 x 133 x 104 x 257 x 489 = 3476617872

Therefore, the lowest common multiple of 266,208,257,978 is 3476617872.

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 208 x 257 x 978 = 13906471488

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

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

257 : 1, 257

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,208,257,978, is 1.

Now, the common factors can be found like this.

266:2x 7x 19

208:2x 2x 2x 2x 13

257:257

978:2x 3x 163

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13906471488/(1x4)

LCM = 13906471488/4

LCM = 3476617872

Thus, we can understand that the LCM of 266,208,257,978 is 3476617872.

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

• LCM of 681, 674, 535, 815
• LCM of 778, 538, 654, 157
• LCM of 363, 479, 298, 321
• LCM of 281, 799, 235, 154
• LCM of 194, 341, 866, 370

1. What is the LCM of 266, 208, 257, 978?

Answer: LCM of 266, 208, 257, 978 is 3476617872.

2. How to calculate the LCM of 266, 208, 257, 978?

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, 208, 257, 978.

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}.