Given numbers are 904,386,749,343

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

The LCM of 904,386,749,343 is 6403296872.

Find LCM of 904,386,749,343 with Prime Factorization

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

2 x 7 x 452 x 193 x 107 x 49 = 6403296872

Therefore, the lowest common multiple of 904,386,749,343 is 6403296872.

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.

904 x 386 x 749 x 343 = 89646156208

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

386 : 1, 2, 193, 386

749 : 1, 7, 107, 749

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,386,749,343, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

386:2x 193

749:7x 107

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 7 = 14

Therefore, the value for common factors is 14.

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 = 89646156208/(1x14)

LCM = 89646156208/14

LCM = 6403296872

Thus, we can understand that the LCM of 904,386,749,343 is 6403296872.

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

• LCM of 407, 209, 515, 768
• LCM of 859, 779, 978, 356
• LCM of 501, 820, 556, 813
• LCM of 266, 746, 851, 706
• LCM of 875, 400, 208, 303

1. What is the LCM of 904, 386, 749, 343?

Answer: LCM of 904, 386, 749, 343 is 6403296872.

2. How to calculate the LCM of 904, 386, 749, 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 904, 386, 749, 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}.