Given numbers are 365,547,374,596,742

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

The LCM of 365,547,374,596,742 is 8255473101260.

Find LCM of 365,547,374,596,742 with Prime Factorization

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

2 x 365 x 547 x 187 x 298 x 371 = 8255473101260

Therefore, the lowest common multiple of 365,547,374,596,742 is 8255473101260.

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.

365 x 547 x 374 x 596 x 742 = 33021892405040

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.

365 : 1, 5, 73, 365

547 : 1, 547

374 : 1, 2, 11, 17, 22, 34, 187, 374

596 : 1, 2, 4, 149, 298, 596

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,547,374,596,742, is 1.

Now, the common factors can be found like this.

365:5x 73

547:547

374:2x 11x 17

596:2x 2x 149

742:2x 7x 53

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 = 33021892405040/(1x4)

LCM = 33021892405040/4

LCM = 8255473101260

Thus, we can understand that the LCM of 365,547,374,596,742 is 8255473101260.

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

• LCM of 866, 199, 499, 290, 884
• LCM of 905, 446, 752, 593, 647
• LCM of 244, 451, 806, 521, 715
• LCM of 907, 946, 329, 897, 990
• LCM of 964, 160, 357, 192, 924

1. What is the LCM of 365, 547, 374, 596, 742?

Answer: LCM of 365, 547, 374, 596, 742 is 8255473101260.

2. How to calculate the LCM of 365, 547, 374, 596, 742?

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 365, 547, 374, 596, 742.

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}.