Given numbers are 298,78,728,919

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

The LCM of 298,78,728,919 is 299057304.

Find LCM of 298,78,728,919 with Prime Factorization

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

2 x 13 x 149 x 3 x 28 x 919 = 299057304

Therefore, the lowest common multiple of 298,78,728,919 is 299057304.

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 78 x 728 x 919 = 15550979808

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

78 : 1, 2, 3, 6, 13, 26, 39, 78

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

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,78,728,919, is 1.

Now, the common factors can be found like this.

298:2x 149

78:2x 3x 13

728:2x 2x 2x 7x 13

919:919

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 13 = 52

Therefore, the value for common factors is 52.

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 = 15550979808/(1x52)

LCM = 15550979808/52

LCM = 299057304

Thus, we can understand that the LCM of 298,78,728,919 is 299057304.

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

• LCM of 312, 44, 870, 722
• LCM of 461, 35, 498, 412
• LCM of 644, 99, 294, 230
• LCM of 150, 63, 671, 443
• LCM of 683, 41, 109, 459

1. What is the LCM of 298, 78, 728, 919?

Answer: LCM of 298, 78, 728, 919 is 299057304.

2. How to calculate the LCM of 298, 78, 728, 919?

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, 78, 728, 919.

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}.