LCM of 917, 933, 553, 292, 236
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 933, 553, 292, 236 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, 933, 553, 292, 236. So, keep reading to learn more.
Given numbers are 917,933,553,292,236
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,933,553,292,236 is 1164428787732.
Find LCM of 917,933,553,292,236 with Prime Factorization
| 2 | 917, 933, 553, 292, 236 |
| 2 | 917, 933, 553, 146, 118 |
| 7 | 917, 933, 553, 73, 59 |
| 131, 933, 79, 73, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 131 x 933 x 79 x 73 x 59 = 1164428787732
Therefore, the lowest common multiple of 917,933,553,292,236 is 1164428787732.
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 933 x 553 x 292 x 236 = 32604006056496
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
933 : 1, 3, 311, 933
553 : 1, 7, 79, 553
292 : 1, 2, 4, 73, 146, 292
236 : 1, 2, 4, 59, 118, 236
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,933,553,292,236, is 1.
Now, the common factors can be found like this.
917:7x 131
933:3x 311
553:7x 79
292:2x 2x 73
236:2x 2x 59
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 7 = 28
Therefore, the value for common factors is 28.
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 = 32604006056496/(1x28)
LCM = 32604006056496/28
LCM = 1164428787732
Thus, we can understand that the LCM of 917,933,553,292,236 is 1164428787732.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 917, 933, 553, 292, 236
1. What is the LCM of 917, 933, 553, 292, 236?
Answer: LCM of 917, 933, 553, 292, 236 is 1164428787732.
2. How to calculate the LCM of 917, 933, 553, 292, 236?
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, 933, 553, 292, 236.
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}.