LCM of 279, 551, 453, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 279, 551, 453, 351 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 279, 551, 453, 351. So, keep reading to learn more.
Given numbers are 279,551,453,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,551,453,351 is 905310081.
Find LCM of 279,551,453,351 with Prime Factorization
| 3 | 279, 551, 453, 351 |
| 3 | 93, 551, 151, 117 |
| 31, 551, 151, 39 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 551 x 151 x 39 = 905310081
Therefore, the lowest common multiple of 279,551,453,351 is 905310081.
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.
279 x 551 x 453 x 351 = 24443372187
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.
279 : 1, 3, 9, 31, 93, 279
551 : 1, 19, 29, 551
453 : 1, 3, 151, 453
351 : 1, 3, 9, 13, 27, 39, 117, 351
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,551,453,351, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
551:19x 29
453:3x 151
351:3x 3x 3x 13
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 3 = 27
Therefore, the value for common factors is 27.
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 = 24443372187/(1x27)
LCM = 24443372187/27
LCM = 905310081
Thus, we can understand that the LCM of 279,551,453,351 is 905310081.
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FAQs on LCM of 279, 551, 453, 351
1. What is the LCM of 279, 551, 453, 351?
Answer: LCM of 279, 551, 453, 351 is 905310081.
2. How to calculate the LCM of 279, 551, 453, 351?
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 279, 551, 453, 351.
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}.