Given numbers are 364,772,268,626,892

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

The LCM of 364,772,268,626,892 is 328535796316.

Find LCM of 364,772,268,626,892 with Prime Factorization

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

2 x 2 x 91 x 193 x 67 x 313 x 223 = 328535796316

Therefore, the lowest common multiple of 364,772,268,626,892 is 328535796316.

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.

364 x 772 x 268 x 626 x 892 = 42052581928448

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

772 : 1, 2, 4, 193, 386, 772

268 : 1, 2, 4, 67, 134, 268

626 : 1, 2, 313, 626

892 : 1, 2, 4, 223, 446, 892

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,772,268,626,892, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

772:2x 2x 193

268:2x 2x 67

626:2x 313

892:2x 2x 223

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 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 42052581928448/(2x64)

LCM = 42052581928448/128

LCM = 328535796316

Thus, we can understand that the LCM of 364,772,268,626,892 is 328535796316.

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

• LCM of 339, 980, 890, 115, 853
• LCM of 285, 783, 726, 955, 454
• LCM of 140, 419, 365, 930, 315
• LCM of 369, 419, 564, 955, 885
• LCM of 195, 985, 305, 437, 568

1. What is the LCM of 364, 772, 268, 626, 892?

Answer: LCM of 364, 772, 268, 626, 892 is 328535796316.

2. How to calculate the LCM of 364, 772, 268, 626, 892?

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 364, 772, 268, 626, 892.

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}.