Given numbers are 428,411,685

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

The LCM of 428,411,685 is 879540.

Find LCM of 428,411,685 with Prime Factorization

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

137 x 428 x 3 x 5 = 879540

Therefore, the lowest common multiple of 428,411,685 is 879540.

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 411 x 685 = 120496980

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

411 : 1, 3, 137, 411

685 : 1, 5, 137, 685

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,411,685, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

411:3x 137

685:5x 137

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

137 = 137

Therefore, the value for common factors is 137.

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 = 120496980/(1x137)

LCM = 120496980/137

LCM = 879540

Thus, we can understand that the LCM of 428,411,685 is 879540.

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

• LCM of 789, 704, 304
• LCM of 196, 837, 322
• LCM of 225, 355, 708
• LCM of 523, 700, 288
• LCM of 787, 634, 626

1. What is the LCM of 428, 411, 685?

Answer: LCM of 428, 411, 685 is 879540.

2. How to calculate the LCM of 428, 411, 685?

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, 411, 685.

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}.