Given numbers are 298,428,149,351

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

The LCM of 298,428,149,351 is 22383972.

Find LCM of 298,428,149,351 with Prime Factorization

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

2 x 149 x 1 x 214 x 1 x 351 = 22383972

Therefore, the lowest common multiple of 298,428,149,351 is 22383972.

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 428 x 149 x 351 = 6670423656

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

428 : 1, 2, 4, 107, 214, 428

149 : 1, 149

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,428,149,351, is 1.

Now, the common factors can be found like this.

298:2x 149

428:2x 2x 107

149:149

351:3x 3x 3x 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 149 = 298

Therefore, the value for common factors is 298.

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 = 6670423656/(1x298)

LCM = 6670423656/298

LCM = 22383972

Thus, we can understand that the LCM of 298,428,149,351 is 22383972.

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

• LCM of 984, 877, 878, 346
• LCM of 579, 288, 450, 503
• LCM of 187, 498, 202, 265
• LCM of 615, 958, 278, 640
• LCM of 824, 807, 507, 874

1. What is the LCM of 298, 428, 149, 351?

Answer: LCM of 298, 428, 149, 351 is 22383972.

2. How to calculate the LCM of 298, 428, 149, 351?

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, 428, 149, 351.

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}.