Given numbers are 257,278,710,938

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

The LCM of 257,278,710,938 is 11895401770.

Find LCM of 257,278,710,938 with Prime Factorization

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

2 x 257 x 139 x 355 x 469 = 11895401770

Therefore, the lowest common multiple of 257,278,710,938 is 11895401770.

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.

257 x 278 x 710 x 938 = 47581607080

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.

257 : 1, 257

278 : 1, 2, 139, 278

710 : 1, 2, 5, 10, 71, 142, 355, 710

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,278,710,938, is 1.

Now, the common factors can be found like this.

257:257

278:2x 139

710:2x 5x 71

938:2x 7x 67

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 = 47581607080/(1x4)

LCM = 47581607080/4

LCM = 11895401770

Thus, we can understand that the LCM of 257,278,710,938 is 11895401770.

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

• LCM of 999, 418, 691, 677
• LCM of 210, 696, 798, 328
• LCM of 497, 357, 223, 491
• LCM of 303, 215, 492, 237
• LCM of 147, 119, 297, 900

1. What is the LCM of 257, 278, 710, 938?

Answer: LCM of 257, 278, 710, 938 is 11895401770.

2. How to calculate the LCM of 257, 278, 710, 938?

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 257, 278, 710, 938.

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}.