Given numbers are 742,593,354,172,674

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

The LCM of 742,593,354,172,674 is 2257148938884.

Find LCM of 742,593,354,172,674 with Prime Factorization

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

2 x 371 x 593 x 177 x 86 x 337 = 2257148938884

Therefore, the lowest common multiple of 742,593,354,172,674 is 2257148938884.

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.

742 x 593 x 354 x 172 x 674 = 18057191511072

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

593 : 1, 593

354 : 1, 2, 3, 6, 59, 118, 177, 354

172 : 1, 2, 4, 43, 86, 172

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,593,354,172,674, is 1.

Now, the common factors can be found like this.

742:2x 7x 53

593:593

354:2x 3x 59

172:2x 2x 43

674:2x 337

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 2 = 8

Therefore, the value for common factors is 8.

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 = 18057191511072/(1x8)

LCM = 18057191511072/8

LCM = 2257148938884

Thus, we can understand that the LCM of 742,593,354,172,674 is 2257148938884.

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

• LCM of 191, 169, 808, 824, 829
• LCM of 870, 703, 523, 880, 433
• LCM of 736, 282, 435, 612, 579
• LCM of 611, 725, 763, 212, 511
• LCM of 491, 281, 815, 611, 709

1. What is the LCM of 742, 593, 354, 172, 674?

Answer: LCM of 742, 593, 354, 172, 674 is 2257148938884.

2. How to calculate the LCM of 742, 593, 354, 172, 674?

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 742, 593, 354, 172, 674.

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}.