Given numbers are 271,970,814,342

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

The LCM of 271,970,814,342 is 18294963390.

Find LCM of 271,970,814,342 with Prime Factorization

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

2 x 271 x 485 x 407 x 171 = 18294963390

Therefore, the lowest common multiple of 271,970,814,342 is 18294963390.

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 970 x 814 x 342 = 73179853560

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

970 : 1, 2, 5, 10, 97, 194, 485, 970

814 : 1, 2, 11, 22, 37, 74, 407, 814

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,970,814,342, is 1.

Now, the common factors can be found like this.

271:271

970:2x 5x 97

814:2x 11x 37

342:2x 3x 3x 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 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 = 73179853560/(1x4)

LCM = 73179853560/4

LCM = 18294963390

Thus, we can understand that the LCM of 271,970,814,342 is 18294963390.

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

• LCM of 613, 697, 628, 109
• LCM of 912, 185, 545, 530
• LCM of 992, 931, 454, 384
• LCM of 540, 630, 178, 402
• LCM of 779, 791, 550, 435

1. What is the LCM of 271, 970, 814, 342?

Answer: LCM of 271, 970, 814, 342 is 18294963390.

2. How to calculate the LCM of 271, 970, 814, 342?

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, 970, 814, 342.

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}.