Given numbers are 749,338,377,368

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

The LCM of 749,338,377,368 is 1350872432.

Find LCM of 749,338,377,368 with Prime Factorization

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

2 x 13 x 749 x 13 x 29 x 184 = 1350872432

Therefore, the lowest common multiple of 749,338,377,368 is 1350872432.

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.

749 x 338 x 377 x 368 = 35122683232

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.

749 : 1, 7, 107, 749

338 : 1, 2, 13, 26, 169, 338

377 : 1, 13, 29, 377

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,338,377,368, is 1.

Now, the common factors can be found like this.

749:7x 107

338:2x 13x 13

377:13x 29

368:2x 2x 2x 2x 23

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 35122683232/(1x26)

LCM = 35122683232/26

LCM = 1350872432

Thus, we can understand that the LCM of 749,338,377,368 is 1350872432.

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

• LCM of 752, 659, 870, 491
• LCM of 613, 101, 839, 844
• LCM of 566, 226, 684, 492
• LCM of 607, 230, 373, 848
• LCM of 191, 127, 656, 963

1. What is the LCM of 749, 338, 377, 368?

Answer: LCM of 749, 338, 377, 368 is 1350872432.

2. How to calculate the LCM of 749, 338, 377, 368?

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 749, 338, 377, 368.

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}.