LCM of 917, 351, 616, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 351, 616, 209 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 917, 351, 616, 209. So, keep reading to learn more.
Given numbers are 917,351,616,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,351,616,209 is 538161624.
Find LCM of 917,351,616,209 with Prime Factorization
| 7 | 917, 351, 616, 209 |
| 11 | 131, 351, 88, 209 |
| 131, 351, 8, 19 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 131 x 351 x 8 x 19 = 538161624
Therefore, the lowest common multiple of 917,351,616,209 is 538161624.
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.
917 x 351 x 616 x 209 = 41438445048
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.
917 : 1, 7, 131, 917
351 : 1, 3, 9, 13, 27, 39, 117, 351
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,351,616,209, is 1.
Now, the common factors can be found like this.
917:7x 131
351:3x 3x 3x 13
616:2x 2x 2x 7x 11
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11 = 77
Therefore, the value for common factors is 77.
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 = 41438445048/(1x77)
LCM = 41438445048/77
LCM = 538161624
Thus, we can understand that the LCM of 917,351,616,209 is 538161624.
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FAQs on LCM of 917, 351, 616, 209
1. What is the LCM of 917, 351, 616, 209?
Answer: LCM of 917, 351, 616, 209 is 538161624.
2. How to calculate the LCM of 917, 351, 616, 209?
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 917, 351, 616, 209.
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}.