LCM of 551, 906, 986, 625, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 906, 986, 625, 912 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 551, 906, 986, 625, 912. So, keep reading to learn more.
Given numbers are 551,906,986,625,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,906,986,625,912 is 42432510000.
Find LCM of 551,906,986,625,912 with Prime Factorization
| 2 | 551, 906, 986, 625, 912 |
| 3 | 551, 453, 493, 625, 456 |
| 19 | 551, 151, 493, 625, 152 |
| 29 | 29, 151, 493, 625, 8 |
| 1, 151, 17, 625, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 29 x 1 x 151 x 17 x 625 x 8 = 42432510000
Therefore, the lowest common multiple of 551,906,986,625,912 is 42432510000.
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.
551 x 906 x 986 x 625 x 912 = 280563756120000
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.
551 : 1, 19, 29, 551
906 : 1, 2, 3, 6, 151, 302, 453, 906
986 : 1, 2, 17, 29, 34, 58, 493, 986
625 : 1, 5, 25, 125, 625
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,906,986,625,912, is 1.
Now, the common factors can be found like this.
551:19x 29
906:2x 3x 151
986:2x 17x 29
625:5x 5x 5x 5
912:2x 2x 2x 2x 3x 19
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 3x 19x 29 = 6612
Therefore, the value for common factors is 6612.
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 = 280563756120000/(1x6612)
LCM = 280563756120000/6612
LCM = 42432510000
Thus, we can understand that the LCM of 551,906,986,625,912 is 42432510000.
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FAQs on LCM of 551, 906, 986, 625, 912
1. What is the LCM of 551, 906, 986, 625, 912?
Answer: LCM of 551, 906, 986, 625, 912 is 42432510000.
2. How to calculate the LCM of 551, 906, 986, 625, 912?
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 551, 906, 986, 625, 912.
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}.