LCM of 917, 221, 350, 306, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 917, 221, 350, 306, 105 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, 221, 350, 306, 105. So, keep reading to learn more.
Given numbers are 917,221,350,306,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 917,221,350,306,105 is 91195650.
Find LCM of 917,221,350,306,105 with Prime Factorization
| 2 | 917, 221, 350, 306, 105 |
| 3 | 917, 221, 175, 153, 105 |
| 5 | 917, 221, 175, 51, 35 |
| 7 | 917, 221, 7, 51, 35 |
| 17 | 131, 221, 1, 51, 5 |
| 131, 13, 1, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 131 x 13 x 1 x 3 x 5 = 91195650
Therefore, the lowest common multiple of 917,221,350,306,105 is 91195650.
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 221 x 350 x 306 x 105 = 2278979293500
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
221 : 1, 13, 17, 221
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 917,221,350,306,105, is 1.
Now, the common factors can be found like this.
917:7x 131
221:13x 17
350:2x 5x 5x 7
306:2x 3x 3x 17
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 7x 17 = 24990
Therefore, the value for common factors is 24990.
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 = 2278979293500/(1x24990)
LCM = 2278979293500/24990
LCM = 91195650
Thus, we can understand that the LCM of 917,221,350,306,105 is 91195650.
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FAQs on LCM of 917, 221, 350, 306, 105
1. What is the LCM of 917, 221, 350, 306, 105?
Answer: LCM of 917, 221, 350, 306, 105 is 91195650.
2. How to calculate the LCM of 917, 221, 350, 306, 105?
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, 221, 350, 306, 105.
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}.