Given numbers are 469,242,319

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

The LCM of 469,242,319 is 3291442.

Find LCM of 469,242,319 with Prime Factorization

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

11 x 469 x 22 x 29 = 3291442

Therefore, the lowest common multiple of 469,242,319 is 3291442.

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 242 x 319 = 36205862

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

242 : 1, 2, 11, 22, 121, 242

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,242,319, is 1.

Now, the common factors can be found like this.

469:7x 67

242:2x 11x 11

319:11x 29

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

11 = 11

Therefore, the value for common factors is 11.

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 = 36205862/(1x11)

LCM = 36205862/11

LCM = 3291442

Thus, we can understand that the LCM of 469,242,319 is 3291442.

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

• LCM of 204, 759, 928
• LCM of 197, 485, 991
• LCM of 696, 902, 118
• LCM of 189, 423, 773
• LCM of 333, 624, 491

1. What is the LCM of 469, 242, 319?

Answer: LCM of 469, 242, 319 is 3291442.

2. How to calculate the LCM of 469, 242, 319?

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, 242, 319.

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}.