LCM of 634, 217, 924, 556, 836
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 634, 217, 924, 556, 836 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, 924, 556, 836. So, keep reading to learn more.
Given numbers are 634,217,924,556,836
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,217,924,556,836 is 23980670868.
Find LCM of 634,217,924,556,836 with Prime Factorization
| 2 | 634, 217, 924, 556, 836 |
| 2 | 317, 217, 462, 278, 418 |
| 7 | 317, 217, 231, 139, 209 |
| 11 | 317, 31, 33, 139, 209 |
| 317, 31, 3, 139, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 317 x 31 x 3 x 139 x 19 = 23980670868
Therefore, the lowest common multiple of 634,217,924,556,836 is 23980670868.
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 924 x 556 x 836 = 59088373018752
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
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
556 : 1, 2, 4, 139, 278, 556
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,217,924,556,836, is 1.
Now, the common factors can be found like this.
634:2x 317
217:7x 31
924:2x 2x 3x 7x 11
556:2x 2x 139
836:2x 2x 11x 19
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 2x 7x 11 = 2464
Therefore, the value for common factors is 2464.
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 = 59088373018752/(1x2464)
LCM = 59088373018752/2464
LCM = 23980670868
Thus, we can understand that the LCM of 634,217,924,556,836 is 23980670868.
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FAQs on LCM of 634, 217, 924, 556, 836
1. What is the LCM of 634, 217, 924, 556, 836?
Answer: LCM of 634, 217, 924, 556, 836 is 23980670868.
2. How to calculate the LCM of 634, 217, 924, 556, 836?
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, 924, 556, 836.
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}.