Given numbers are 743,108,412,514,274

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

The LCM of 743,108,412,514,274 is 291007032588.

Find LCM of 743,108,412,514,274 with Prime Factorization

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

2 x 2 x 743 x 27 x 103 x 257 x 137 = 291007032588

Therefore, the lowest common multiple of 743,108,412,514,274 is 291007032588.

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.

743 x 108 x 412 x 514 x 274 = 4656112521408

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.

743 : 1, 743

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

412 : 1, 2, 4, 103, 206, 412

514 : 1, 2, 257, 514

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,108,412,514,274, is 1.

Now, the common factors can be found like this.

743:743

108:2x 2x 3x 3x 3

412:2x 2x 103

514:2x 257

274:2x 137

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 4656112521408/(1x16)

LCM = 4656112521408/16

LCM = 291007032588

Thus, we can understand that the LCM of 743,108,412,514,274 is 291007032588.

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

• LCM of 636, 158, 106, 488, 258
• LCM of 142, 780, 909, 845, 862
• LCM of 446, 346, 805, 456, 395
• LCM of 227, 440, 872, 519, 667
• LCM of 995, 775, 364, 289, 874

1. What is the LCM of 743, 108, 412, 514, 274?

Answer: LCM of 743, 108, 412, 514, 274 is 291007032588.

2. How to calculate the LCM of 743, 108, 412, 514, 274?

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 743, 108, 412, 514, 274.

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}.