LCM of 651, 506, 627, 897, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 651, 506, 627, 897, 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 651, 506, 627, 897, 551. So, keep reading to learn more.
Given numbers are 651,506,627,897,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 651,506,627,897,551 is 2359535178.
Find LCM of 651,506,627,897,551 with Prime Factorization
| 3 | 651, 506, 627, 897, 551 |
| 11 | 217, 506, 209, 299, 551 |
| 19 | 217, 46, 19, 299, 551 |
| 23 | 217, 46, 1, 299, 29 |
| 217, 2, 1, 13, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 23 x 217 x 2 x 1 x 13 x 29 = 2359535178
Therefore, the lowest common multiple of 651,506,627,897,551 is 2359535178.
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.
651 x 506 x 627 x 897 x 551 = 102080570405814
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.
651 : 1, 3, 7, 21, 31, 93, 217, 651
506 : 1, 2, 11, 22, 23, 46, 253, 506
627 : 1, 3, 11, 19, 33, 57, 209, 627
897 : 1, 3, 13, 23, 39, 69, 299, 897
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 651,506,627,897,551, is 1.
Now, the common factors can be found like this.
651:3x 7x 31
506:2x 11x 23
627:3x 11x 19
897:3x 13x 23
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.
3x 3x 11x 19x 23 = 43263
Therefore, the value for common factors is 43263.
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 = 102080570405814/(1x43263)
LCM = 102080570405814/43263
LCM = 2359535178
Thus, we can understand that the LCM of 651,506,627,897,551 is 2359535178.
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FAQs on LCM of 651, 506, 627, 897, 551
1. What is the LCM of 651, 506, 627, 897, 551?
Answer: LCM of 651, 506, 627, 897, 551 is 2359535178.
2. How to calculate the LCM of 651, 506, 627, 897, 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 651, 506, 627, 897, 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}.