Given numbers are 428,466,145

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

The LCM of 428,466,145 is 14459980.

Find LCM of 428,466,145 with Prime Factorization

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

2 x 214 x 233 x 145 = 14459980

Therefore, the lowest common multiple of 428,466,145 is 14459980.

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 466 x 145 = 28919960

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

466 : 1, 2, 233, 466

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,466,145, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

466:2x 233

145:5x 29

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 = 28919960/(1x2)

LCM = 28919960/2

LCM = 14459980

Thus, we can understand that the LCM of 428,466,145 is 14459980.

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

• LCM of 372, 209, 625
• LCM of 419, 671, 509
• LCM of 892, 882, 815
• LCM of 676, 859, 411
• LCM of 834, 434, 937

1. What is the LCM of 428, 466, 145?

Answer: LCM of 428, 466, 145 is 14459980.

2. How to calculate the LCM of 428, 466, 145?

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, 466, 145.

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}.