Given numbers are 319,45,470

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

The LCM of 319,45,470 is 1349370.

Find LCM of 319,45,470 with Prime Factorization

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

5 x 319 x 9 x 94 = 1349370

Therefore, the lowest common multiple of 319,45,470 is 1349370.

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.

319 x 45 x 470 = 6746850

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.

319 : 1, 11, 29, 319

45 : 1, 3, 5, 9, 15, 45

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,45,470, is 1.

Now, the common factors can be found like this.

319:11x 29

45:3x 3x 5

470:2x 5x 47

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

5 = 5

Therefore, the value for common factors is 5.

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 = 6746850/(1x5)

LCM = 6746850/5

LCM = 1349370

Thus, we can understand that the LCM of 319,45,470 is 1349370.

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

• LCM of 299, 85, 277
• LCM of 314, 53, 491
• LCM of 531, 70, 452
• LCM of 854, 56, 363
• LCM of 554, 73, 886

1. What is the LCM of 319, 45, 470?

Answer: LCM of 319, 45, 470 is 1349370.

2. How to calculate the LCM of 319, 45, 470?

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 319, 45, 470.

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}.