Given numbers are 428,278,505

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

The LCM of 428,278,505 is 30043460.

Find LCM of 428,278,505 with Prime Factorization

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

2 x 214 x 139 x 505 = 30043460

Therefore, the lowest common multiple of 428,278,505 is 30043460.

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 278 x 505 = 60086920

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

278 : 1, 2, 139, 278

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,278,505, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

278:2x 139

505:5x 101

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 = 60086920/(1x2)

LCM = 60086920/2

LCM = 30043460

Thus, we can understand that the LCM of 428,278,505 is 30043460.

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

• LCM of 412, 227, 967
• LCM of 692, 528, 864
• LCM of 918, 745, 931
• LCM of 905, 526, 884
• LCM of 768, 723, 925

1. What is the LCM of 428, 278, 505?

Answer: LCM of 428, 278, 505 is 30043460.

2. How to calculate the LCM of 428, 278, 505?

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, 278, 505.

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}.