Given numbers are 238,417,311,556

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

The LCM of 238,417,311,556 is 61731012.

Find LCM of 238,417,311,556 with Prime Factorization

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

2 x 139 x 119 x 3 x 311 x 2 = 61731012

Therefore, the lowest common multiple of 238,417,311,556 is 61731012.

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.

238 x 417 x 311 x 556 = 17161221336

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.

238 : 1, 2, 7, 14, 17, 34, 119, 238

417 : 1, 3, 139, 417

311 : 1, 311

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 238,417,311,556, is 1.

Now, the common factors can be found like this.

238:2x 7x 17

417:3x 139

311:311

556:2x 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.

2x 139 = 278

Therefore, the value for common factors is 278.

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 = 17161221336/(1x278)

LCM = 17161221336/278

LCM = 61731012

Thus, we can understand that the LCM of 238,417,311,556 is 61731012.

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

• LCM of 779, 617, 517, 815
• LCM of 455, 846, 974, 705
• LCM of 866, 657, 621, 100
• LCM of 192, 402, 928, 687
• LCM of 349, 491, 206, 548

1. What is the LCM of 238, 417, 311, 556?

Answer: LCM of 238, 417, 311, 556 is 61731012.

2. How to calculate the LCM of 238, 417, 311, 556?

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 238, 417, 311, 556.

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}.