Given numbers are 308,577,296,273,364

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

The LCM of 308,577,296,273,364 is 512888376.

Find LCM of 308,577,296,273,364 with Prime Factorization

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

2 x 2 x 7 x 13 x 11 x 577 x 74 x 3 x 1 = 512888376

Therefore, the lowest common multiple of 308,577,296,273,364 is 512888376.

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.

308 x 577 x 296 x 273 x 364 = 5227358328192

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

577 : 1, 577

296 : 1, 2, 4, 8, 37, 74, 148, 296

273 : 1, 3, 7, 13, 21, 39, 91, 273

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,577,296,273,364, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

577:577

296:2x 2x 2x 37

273:3x 7x 13

364:2x 2x 7x 13

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 7x 7x 13 = 10192

Therefore, the value for common factors is 10192.

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 = 5227358328192/(1x10192)

LCM = 5227358328192/10192

LCM = 512888376

Thus, we can understand that the LCM of 308,577,296,273,364 is 512888376.

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

• LCM of 791, 109, 269, 424, 308
• LCM of 779, 582, 456, 904, 179
• LCM of 618, 575, 392, 739, 617
• LCM of 661, 206, 494, 110, 621
• LCM of 661, 287, 420, 950, 287

1. What is the LCM of 308, 577, 296, 273, 364?

Answer: LCM of 308, 577, 296, 273, 364 is 512888376.

2. How to calculate the LCM of 308, 577, 296, 273, 364?

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 308, 577, 296, 273, 364.

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}.