LCM of 917, 954, 996, 649, 424
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 954, 996, 649, 424 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, 954, 996, 649, 424. So, keep reading to learn more.
Given numbers are 917,954,996,649,424
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,954,996,649,424 is 188495284824.
Find LCM of 917,954,996,649,424 with Prime Factorization
| 2 | 917, 954, 996, 649, 424 |
| 2 | 917, 477, 498, 649, 212 |
| 3 | 917, 477, 249, 649, 106 |
| 53 | 917, 159, 83, 649, 106 |
| 917, 3, 83, 649, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 917 x 3 x 83 x 649 x 2 = 188495284824
Therefore, the lowest common multiple of 917,954,996,649,424 is 188495284824.
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 954 x 996 x 649 x 424 = 239766002296128
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
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
649 : 1, 11, 59, 649
424 : 1, 2, 4, 8, 53, 106, 212, 424
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,954,996,649,424, is 1.
Now, the common factors can be found like this.
917:7x 131
954:2x 3x 3x 53
996:2x 2x 3x 83
649:11x 59
424:2x 2x 2x 53
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 3x 53 = 1272
Therefore, the value for common factors is 1272.
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 = 239766002296128/(1x1272)
LCM = 239766002296128/1272
LCM = 188495284824
Thus, we can understand that the LCM of 917,954,996,649,424 is 188495284824.
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FAQs on LCM of 917, 954, 996, 649, 424
1. What is the LCM of 917, 954, 996, 649, 424?
Answer: LCM of 917, 954, 996, 649, 424 is 188495284824.
2. How to calculate the LCM of 917, 954, 996, 649, 424?
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, 954, 996, 649, 424.
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}.