LCM of 870, 627, 228, 569, 551
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 870, 627, 228, 569, 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 870, 627, 228, 569, 551. So, keep reading to learn more.
Given numbers are 870,627,228,569,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 870,627,228,569,551 is 206922540.
Find LCM of 870,627,228,569,551 with Prime Factorization
| 2 | 870, 627, 228, 569, 551 |
| 3 | 435, 627, 114, 569, 551 |
| 19 | 145, 209, 38, 569, 551 |
| 29 | 145, 11, 2, 569, 29 |
| 5, 11, 2, 569, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 29 x 5 x 11 x 2 x 569 x 1 = 206922540
Therefore, the lowest common multiple of 870,627,228,569,551 is 206922540.
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.
870 x 627 x 228 x 569 x 551 = 38992897282680
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.
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
627 : 1, 3, 11, 19, 33, 57, 209, 627
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
569 : 1, 569
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,627,228,569,551, is 1.
Now, the common factors can be found like this.
870:2x 3x 5x 29
627:3x 11x 19
228:2x 2x 3x 19
569:569
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 3x 3x 19x 19x 29 = 188442
Therefore, the value for common factors is 188442.
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 = 38992897282680/(1x188442)
LCM = 38992897282680/188442
LCM = 206922540
Thus, we can understand that the LCM of 870,627,228,569,551 is 206922540.
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FAQs on LCM of 870, 627, 228, 569, 551
1. What is the LCM of 870, 627, 228, 569, 551?
Answer: LCM of 870, 627, 228, 569, 551 is 206922540.
2. How to calculate the LCM of 870, 627, 228, 569, 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 870, 627, 228, 569, 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}.