LCM of 437, 328, 259, 551, 196
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 328, 259, 551, 196 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 437, 328, 259, 551, 196. So, keep reading to learn more.
Given numbers are 437,328,259,551,196
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,328,259,551,196 is 7536176872.
Find LCM of 437,328,259,551,196 with Prime Factorization
| 2 | 437, 328, 259, 551, 196 |
| 2 | 437, 164, 259, 551, 98 |
| 7 | 437, 82, 259, 551, 49 |
| 19 | 437, 82, 37, 551, 7 |
| 23, 82, 37, 29, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 23 x 82 x 37 x 29 x 7 = 7536176872
Therefore, the lowest common multiple of 437,328,259,551,196 is 7536176872.
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.
437 x 328 x 259 x 551 x 196 = 4009246095904
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.
437 : 1, 19, 23, 437
328 : 1, 2, 4, 8, 41, 82, 164, 328
259 : 1, 7, 37, 259
551 : 1, 19, 29, 551
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,328,259,551,196, is 1.
Now, the common factors can be found like this.
437:19x 23
328:2x 2x 2x 41
259:7x 37
551:19x 29
196:2x 2x 7x 7
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 19 = 532
Therefore, the value for common factors is 532.
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 = 4009246095904/(1x532)
LCM = 4009246095904/532
LCM = 7536176872
Thus, we can understand that the LCM of 437,328,259,551,196 is 7536176872.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 437, 328, 259, 551, 196
1. What is the LCM of 437, 328, 259, 551, 196?
Answer: LCM of 437, 328, 259, 551, 196 is 7536176872.
2. How to calculate the LCM of 437, 328, 259, 551, 196?
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 437, 328, 259, 551, 196.
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}.