Given numbers are 311,120,251,278

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

The LCM of 311,120,251,278 is 1302057480.

Find LCM of 311,120,251,278 with Prime Factorization

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

2 x 311 x 60 x 251 x 139 = 1302057480

Therefore, the lowest common multiple of 311,120,251,278 is 1302057480.

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.

311 x 120 x 251 x 278 = 2604114960

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.

311 : 1, 311

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

251 : 1, 251

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,120,251,278, is 1.

Now, the common factors can be found like this.

311:311

120:2x 2x 2x 3x 5

251:251

278:2x 139

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 = 2604114960/(1x2)

LCM = 2604114960/2

LCM = 1302057480

Thus, we can understand that the LCM of 311,120,251,278 is 1302057480.

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

• LCM of 620, 899, 444, 512
• LCM of 120, 436, 610, 184
• LCM of 149, 822, 290, 910
• LCM of 970, 737, 332, 951
• LCM of 123, 566, 333, 317

1. What is the LCM of 311, 120, 251, 278?

Answer: LCM of 311, 120, 251, 278 is 1302057480.

2. How to calculate the LCM of 311, 120, 251, 278?

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 311, 120, 251, 278.

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}.