LCM of 444, 420, 321, 172, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 444, 420, 321, 172, 319 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 444, 420, 321, 172, 319. So, keep reading to learn more.
Given numbers are 444,420,321,172,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 444,420,321,172,319 is 22808353260.
Find LCM of 444,420,321,172,319 with Prime Factorization
| 2 | 444, 420, 321, 172, 319 |
| 2 | 222, 210, 321, 86, 319 |
| 3 | 111, 105, 321, 43, 319 |
| 37, 35, 107, 43, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 35 x 107 x 43 x 319 = 22808353260
Therefore, the lowest common multiple of 444,420,321,172,319 is 22808353260.
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.
444 x 420 x 321 x 172 x 319 = 3284402869440
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.
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
321 : 1, 3, 107, 321
172 : 1, 2, 4, 43, 86, 172
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,420,321,172,319, is 1.
Now, the common factors can be found like this.
444:2x 2x 3x 37
420:2x 2x 3x 5x 7
321:3x 107
172:2x 2x 43
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.
2x 2x 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 3284402869440/(1x144)
LCM = 3284402869440/144
LCM = 22808353260
Thus, we can understand that the LCM of 444,420,321,172,319 is 22808353260.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 444, 420, 321, 172, 319
1. What is the LCM of 444, 420, 321, 172, 319?
Answer: LCM of 444, 420, 321, 172, 319 is 22808353260.
2. How to calculate the LCM of 444, 420, 321, 172, 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 444, 420, 321, 172, 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}.