LCM of 467, 420, 259, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 467, 420, 259, 296 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 467, 420, 259, 296. So, keep reading to learn more.
Given numbers are 467,420,259,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 467,420,259,296 is 14514360.
Find LCM of 467,420,259,296 with Prime Factorization
| 2 | 467, 420, 259, 296 |
| 2 | 467, 210, 259, 148 |
| 7 | 467, 105, 259, 74 |
| 37 | 467, 15, 37, 74 |
| 467, 15, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 37 x 467 x 15 x 1 x 2 = 14514360
Therefore, the lowest common multiple of 467,420,259,296 is 14514360.
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.
467 x 420 x 259 x 296 = 15036876960
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.
467 : 1, 467
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
259 : 1, 7, 37, 259
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,420,259,296, is 1.
Now, the common factors can be found like this.
467:467
420:2x 2x 3x 5x 7
259:7x 37
296:2x 2x 2x 37
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 7x 37 = 1036
Therefore, the value for common factors is 1036.
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 = 15036876960/(1x1036)
LCM = 15036876960/1036
LCM = 14514360
Thus, we can understand that the LCM of 467,420,259,296 is 14514360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 467, 420, 259, 296
1. What is the LCM of 467, 420, 259, 296?
Answer: LCM of 467, 420, 259, 296 is 14514360.
2. How to calculate the LCM of 467, 420, 259, 296?
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 467, 420, 259, 296.
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}.