Given numbers are 544,235,390,455,343

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

The LCM of 544,235,390,455,343 is 1710115680.

Find LCM of 544,235,390,455,343 with Prime Factorization

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

2 x 5 x 7 x 13 x 272 x 47 x 3 x 1 x 49 = 1710115680

Therefore, the lowest common multiple of 544,235,390,455,343 is 1710115680.

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.

544 x 235 x 390 x 455 x 343 = 7781026344000

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

235 : 1, 5, 47, 235

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

455 : 1, 5, 7, 13, 35, 65, 91, 455

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,235,390,455,343, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

235:5x 47

390:2x 3x 5x 13

455:5x 7x 13

343:7x 7x 7

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

2x 5x 5x 7x 13 = 4550

Therefore, the value for common factors is 4550.

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 = 7781026344000/(1x4550)

LCM = 7781026344000/4550

LCM = 1710115680

Thus, we can understand that the LCM of 544,235,390,455,343 is 1710115680.

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

• LCM of 688, 938, 297, 706, 791
• LCM of 846, 499, 562, 451, 326
• LCM of 357, 278, 584, 973, 888
• LCM of 103, 831, 189, 712, 819
• LCM of 937, 234, 101, 871, 691

1. What is the LCM of 544, 235, 390, 455, 343?

Answer: LCM of 544, 235, 390, 455, 343 is 1710115680.

2. How to calculate the LCM of 544, 235, 390, 455, 343?

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 544, 235, 390, 455, 343.

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}.