LCM of 112, 910, 611, 940, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 112, 910, 611, 940, 551 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 112, 910, 611, 940, 551. So, keep reading to learn more.
Given numbers are 112,910,611,940,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 112,910,611,940,551 is 188530160.
Find LCM of 112,910,611,940,551 with Prime Factorization
| 2 | 112, 910, 611, 940, 551 |
| 2 | 56, 455, 611, 470, 551 |
| 5 | 28, 455, 611, 235, 551 |
| 7 | 28, 91, 611, 47, 551 |
| 13 | 4, 13, 611, 47, 551 |
| 47 | 4, 1, 47, 47, 551 |
| 4, 1, 1, 1, 551 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 47 x 4 x 1 x 1 x 1 x 551 = 188530160
Therefore, the lowest common multiple of 112,910,611,940,551 is 188530160.
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.
112 x 910 x 611 x 940 x 551 = 32253739772800
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.
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
611 : 1, 13, 47, 611
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,910,611,940,551, is 1.
Now, the common factors can be found like this.
112:2x 2x 2x 2x 7
910:2x 5x 7x 13
611:13x 47
940:2x 2x 5x 47
551:19x 29
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 5x 7x 13x 47 = 171080
Therefore, the value for common factors is 171080.
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 = 32253739772800/(1x171080)
LCM = 32253739772800/171080
LCM = 188530160
Thus, we can understand that the LCM of 112,910,611,940,551 is 188530160.
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FAQs on LCM of 112, 910, 611, 940, 551
1. What is the LCM of 112, 910, 611, 940, 551?
Answer: LCM of 112, 910, 611, 940, 551 is 188530160.
2. How to calculate the LCM of 112, 910, 611, 940, 551?
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 112, 910, 611, 940, 551.
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}.