Given numbers are 428,149,398

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

The LCM of 428,149,398 is 12690628.

Find LCM of 428,149,398 with Prime Factorization

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

2 x 214 x 149 x 199 = 12690628

Therefore, the lowest common multiple of 428,149,398 is 12690628.

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.

428 x 149 x 398 = 25381256

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.

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

149 : 1, 149

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,149,398, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

149:149

398:2x 199

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 25381256/(1x2)

LCM = 25381256/2

LCM = 12690628

Thus, we can understand that the LCM of 428,149,398 is 12690628.

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

• LCM of 261, 608, 656
• LCM of 976, 464, 472
• LCM of 477, 873, 141
• LCM of 877, 732, 840
• LCM of 894, 363, 387

1. What is the LCM of 428, 149, 398?

Answer: LCM of 428, 149, 398 is 12690628.

2. How to calculate the LCM of 428, 149, 398?

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 428, 149, 398.

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}.