Given numbers are 469,268,478

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

The LCM of 469,268,478 is 448364.

Find LCM of 469,268,478 with Prime Factorization

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

2 x 67 x 7 x 2 x 239 = 448364

Therefore, the lowest common multiple of 469,268,478 is 448364.

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.

469 x 268 x 478 = 60080776

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.

469 : 1, 7, 67, 469

268 : 1, 2, 4, 67, 134, 268

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,268,478, is 1.

Now, the common factors can be found like this.

469:7x 67

268:2x 2x 67

478:2x 239

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 60080776/(1x134)

LCM = 60080776/134

LCM = 448364

Thus, we can understand that the LCM of 469,268,478 is 448364.

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

• LCM of 820, 108, 878
• LCM of 158, 707, 491
• LCM of 600, 614, 690
• LCM of 201, 907, 617
• LCM of 389, 378, 522

1. What is the LCM of 469, 268, 478?

Answer: LCM of 469, 268, 478 is 448364.

2. How to calculate the LCM of 469, 268, 478?

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 469, 268, 478.

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}.