LCM of 911, 192, 648, 310, 355
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 911, 192, 648, 310, 355 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 911, 192, 648, 310, 355. So, keep reading to learn more.
Given numbers are 911,192,648,310,355
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,192,648,310,355 is 51972477120.
Find LCM of 911,192,648,310,355 with Prime Factorization
| 2 | 911, 192, 648, 310, 355 |
| 2 | 911, 96, 324, 155, 355 |
| 2 | 911, 48, 162, 155, 355 |
| 3 | 911, 24, 81, 155, 355 |
| 5 | 911, 8, 27, 155, 355 |
| 911, 8, 27, 31, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 911 x 8 x 27 x 31 x 71 = 51972477120
Therefore, the lowest common multiple of 911,192,648,310,355 is 51972477120.
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.
911 x 192 x 648 x 310 x 355 = 12473394508800
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.
911 : 1, 911
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
310 : 1, 2, 5, 10, 31, 62, 155, 310
355 : 1, 5, 71, 355
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,192,648,310,355, is 1.
Now, the common factors can be found like this.
911:911
192:2x 2x 2x 2x 2x 2x 3
648:2x 2x 2x 3x 3x 3x 3
310:2x 5x 31
355:5x 71
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 12473394508800/(1x240)
LCM = 12473394508800/240
LCM = 51972477120
Thus, we can understand that the LCM of 911,192,648,310,355 is 51972477120.
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FAQs on LCM of 911, 192, 648, 310, 355
1. What is the LCM of 911, 192, 648, 310, 355?
Answer: LCM of 911, 192, 648, 310, 355 is 51972477120.
2. How to calculate the LCM of 911, 192, 648, 310, 355?
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 911, 192, 648, 310, 355.
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}.