LCM of 551, 997, 376, 890, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 997, 376, 890, 380 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, 997, 376, 890, 380. So, keep reading to learn more.
Given numbers are 551,997,376,890,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,997,376,890,380 is 91916740040.
Find LCM of 551,997,376,890,380 with Prime Factorization
| 2 | 551, 997, 376, 890, 380 |
| 2 | 551, 997, 188, 445, 190 |
| 5 | 551, 997, 94, 445, 95 |
| 19 | 551, 997, 94, 89, 19 |
| 29, 997, 94, 89, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 29 x 997 x 94 x 89 x 1 = 91916740040
Therefore, the lowest common multiple of 551,997,376,890,380 is 91916740040.
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 997 x 376 x 890 x 380 = 69856722430400
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
997 : 1, 997
376 : 1, 2, 4, 8, 47, 94, 188, 376
890 : 1, 2, 5, 10, 89, 178, 445, 890
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,997,376,890,380, is 1.
Now, the common factors can be found like this.
551:19x 29
997:997
376:2x 2x 2x 47
890:2x 5x 89
380:2x 2x 5x 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 2x 5x 19 = 760
Therefore, the value for common factors is 760.
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 = 69856722430400/(1x760)
LCM = 69856722430400/760
LCM = 91916740040
Thus, we can understand that the LCM of 551,997,376,890,380 is 91916740040.
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FAQs on LCM of 551, 997, 376, 890, 380
1. What is the LCM of 551, 997, 376, 890, 380?
Answer: LCM of 551, 997, 376, 890, 380 is 91916740040.
2. How to calculate the LCM of 551, 997, 376, 890, 380?
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, 997, 376, 890, 380.
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}.