Given numbers are 278,272,221,711

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

The LCM of 278,272,221,711 is 349459344.

Find LCM of 278,272,221,711 with Prime Factorization

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

2 x 17 x 139 x 8 x 13 x 711 = 349459344

Therefore, the lowest common multiple of 278,272,221,711 is 349459344.

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.

278 x 272 x 221 x 711 = 11881617696

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.

278 : 1, 2, 139, 278

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

221 : 1, 13, 17, 221

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,272,221,711, is 1.

Now, the common factors can be found like this.

278:2x 139

272:2x 2x 2x 2x 17

221:13x 17

711:3x 3x 79

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 11881617696/(1x34)

LCM = 11881617696/34

LCM = 349459344

Thus, we can understand that the LCM of 278,272,221,711 is 349459344.

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

• LCM of 561, 223, 983, 921
• LCM of 978, 982, 972, 599
• LCM of 517, 736, 105, 765
• LCM of 575, 422, 949, 660
• LCM of 226, 650, 854, 209

1. What is the LCM of 278, 272, 221, 711?

Answer: LCM of 278, 272, 221, 711 is 349459344.

2. How to calculate the LCM of 278, 272, 221, 711?

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 278, 272, 221, 711.

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}.