LCM of 634, 217, 551, 779, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 217, 551, 779, 559 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 634, 217, 551, 779, 559. So, keep reading to learn more.
Given numbers are 634,217,551,779,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,217,551,779,559 is 1737385750282.
Find LCM of 634,217,551,779,559 with Prime Factorization
| 19 | 634, 217, 551, 779, 559 |
| 634, 217, 29, 41, 559 |
Multiply the prime numbers at the bottom and the left side.
19 x 634 x 217 x 29 x 41 x 559 = 1737385750282
Therefore, the lowest common multiple of 634,217,551,779,559 is 1737385750282.
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.
634 x 217 x 551 x 779 x 559 = 33010329255358
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.
634 : 1, 2, 317, 634
217 : 1, 7, 31, 217
551 : 1, 19, 29, 551
779 : 1, 19, 41, 779
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,217,551,779,559, is 1.
Now, the common factors can be found like this.
634:2x 317
217:7x 31
551:19x 29
779:19x 41
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19 = 19
Therefore, the value for common factors is 19.
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 = 33010329255358/(1x19)
LCM = 33010329255358/19
LCM = 1737385750282
Thus, we can understand that the LCM of 634,217,551,779,559 is 1737385750282.
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FAQs on LCM of 634, 217, 551, 779, 559
1. What is the LCM of 634, 217, 551, 779, 559?
Answer: LCM of 634, 217, 551, 779, 559 is 1737385750282.
2. How to calculate the LCM of 634, 217, 551, 779, 559?
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 634, 217, 551, 779, 559.
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}.