Given numbers are 271,343,141,389,138

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

The LCM of 271,343,141,389,138 is 234525438462.

Find LCM of 271,343,141,389,138 with Prime Factorization

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

3 x 271 x 343 x 47 x 389 x 46 = 234525438462

Therefore, the lowest common multiple of 271,343,141,389,138 is 234525438462.

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 343 x 141 x 389 x 138 = 703576315386

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

343 : 1, 7, 49, 343

141 : 1, 3, 47, 141

389 : 1, 389

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,343,141,389,138, is 1.

Now, the common factors can be found like this.

271:271

343:7x 7x 7

141:3x 47

389:389

138:2x 3x 23

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

3 = 3

Therefore, the value for common factors is 3.

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 = 703576315386/(1x3)

LCM = 703576315386/3

LCM = 234525438462

Thus, we can understand that the LCM of 271,343,141,389,138 is 234525438462.

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

• LCM of 968, 421, 404, 896, 542
• LCM of 733, 320, 464, 336, 392
• LCM of 747, 926, 428, 427, 538
• LCM of 116, 274, 824, 196, 705
• LCM of 323, 222, 803, 161, 597

1. What is the LCM of 271, 343, 141, 389, 138?

Answer: LCM of 271, 343, 141, 389, 138 is 234525438462.

2. How to calculate the LCM of 271, 343, 141, 389, 138?

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, 343, 141, 389, 138.

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}.