Given numbers are 298,444,728,107,364

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

The LCM of 298,444,728,107,364 is 1288321944.

Find LCM of 298,444,728,107,364 with Prime Factorization

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

2 x 2 x 7 x 13 x 149 x 111 x 1 x 107 x 2 = 1288321944

Therefore, the lowest common multiple of 298,444,728,107,364 is 1288321944.

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.

298 x 444 x 728 x 107 x 364 = 3751593500928

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.

298 : 1, 2, 149, 298

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

107 : 1, 107

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 298,444,728,107,364, is 1.

Now, the common factors can be found like this.

298:2x 149

444:2x 2x 3x 37

728:2x 2x 2x 7x 13

107:107

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 2x 7x 13 = 2912

Therefore, the value for common factors is 2912.

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 = 3751593500928/(1x2912)

LCM = 3751593500928/2912

LCM = 1288321944

Thus, we can understand that the LCM of 298,444,728,107,364 is 1288321944.

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

• LCM of 172, 849, 875, 295, 684
• LCM of 399, 428, 956, 146, 581
• LCM of 177, 951, 861, 337, 245
• LCM of 293, 663, 944, 515, 513
• LCM of 571, 350, 172, 869, 480

1. What is the LCM of 298, 444, 728, 107, 364?

Answer: LCM of 298, 444, 728, 107, 364 is 1288321944.

2. How to calculate the LCM of 298, 444, 728, 107, 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 298, 444, 728, 107, 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}.