Given numbers are 271,345,340,722

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

The LCM of 271,345,340,722 is 2295115260.

Find LCM of 271,345,340,722 with Prime Factorization

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

2 x 5 x 271 x 69 x 34 x 361 = 2295115260

Therefore, the lowest common multiple of 271,345,340,722 is 2295115260.

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.

271 x 345 x 340 x 722 = 22951152600

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.

271 : 1, 271

345 : 1, 3, 5, 15, 23, 69, 115, 345

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,345,340,722, is 1.

Now, the common factors can be found like this.

271:271

345:3x 5x 23

340:2x 2x 5x 17

722:2x 19x 19

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 22951152600/(1x10)

LCM = 22951152600/10

LCM = 2295115260

Thus, we can understand that the LCM of 271,345,340,722 is 2295115260.

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

• LCM of 626, 173, 583, 209
• LCM of 982, 698, 793, 881
• LCM of 123, 303, 826, 421
• LCM of 677, 954, 824, 318
• LCM of 664, 541, 620, 172

1. What is the LCM of 271, 345, 340, 722?

Answer: LCM of 271, 345, 340, 722 is 2295115260.

2. How to calculate the LCM of 271, 345, 340, 722?

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 271, 345, 340, 722.

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}.