LCM of 551, 175, 747, 414, 798
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 175, 747, 414, 798 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, 175, 747, 414, 798. So, keep reading to learn more.
Given numbers are 551,175,747,414,798
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,175,747,414,798 is 3313355850.
Find LCM of 551,175,747,414,798 with Prime Factorization
| 2 | 551, 175, 747, 414, 798 |
| 3 | 551, 175, 747, 207, 399 |
| 3 | 551, 175, 249, 69, 133 |
| 7 | 551, 175, 83, 23, 133 |
| 19 | 551, 25, 83, 23, 19 |
| 29, 25, 83, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 19 x 29 x 25 x 83 x 23 x 1 = 3313355850
Therefore, the lowest common multiple of 551,175,747,414,798 is 3313355850.
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 175 x 747 x 414 x 798 = 23796521714700
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
175 : 1, 5, 7, 25, 35, 175
747 : 1, 3, 9, 83, 249, 747
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,175,747,414,798, is 1.
Now, the common factors can be found like this.
551:19x 29
175:5x 5x 7
747:3x 3x 83
414:2x 3x 3x 23
798:2x 3x 7x 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 3x 3x 3x 7x 19 = 7182
Therefore, the value for common factors is 7182.
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 = 23796521714700/(1x7182)
LCM = 23796521714700/7182
LCM = 3313355850
Thus, we can understand that the LCM of 551,175,747,414,798 is 3313355850.
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FAQs on LCM of 551, 175, 747, 414, 798
1. What is the LCM of 551, 175, 747, 414, 798?
Answer: LCM of 551, 175, 747, 414, 798 is 3313355850.
2. How to calculate the LCM of 551, 175, 747, 414, 798?
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, 175, 747, 414, 798.
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}.