LCM of 529, 616, 411, 198, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 529, 616, 411, 198, 279 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 529, 616, 411, 198, 279. So, keep reading to learn more.
Given numbers are 529,616,411,198,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,616,411,198,279 is 12455499672.
Find LCM of 529,616,411,198,279 with Prime Factorization
| 2 | 529, 616, 411, 198, 279 |
| 3 | 529, 308, 411, 99, 279 |
| 3 | 529, 308, 137, 33, 93 |
| 11 | 529, 308, 137, 11, 31 |
| 529, 28, 137, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 529 x 28 x 137 x 1 x 31 = 12455499672
Therefore, the lowest common multiple of 529,616,411,198,279 is 12455499672.
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.
529 x 616 x 411 x 198 x 279 = 7398566805168
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.
529 : 1, 23, 529
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
411 : 1, 3, 137, 411
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
279 : 1, 3, 9, 31, 93, 279
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,616,411,198,279, is 1.
Now, the common factors can be found like this.
529:23x 23
616:2x 2x 2x 7x 11
411:3x 137
198:2x 3x 3x 11
279:3x 3x 31
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 11 = 594
Therefore, the value for common factors is 594.
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 = 7398566805168/(1x594)
LCM = 7398566805168/594
LCM = 12455499672
Thus, we can understand that the LCM of 529,616,411,198,279 is 12455499672.
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FAQs on LCM of 529, 616, 411, 198, 279
1. What is the LCM of 529, 616, 411, 198, 279?
Answer: LCM of 529, 616, 411, 198, 279 is 12455499672.
2. How to calculate the LCM of 529, 616, 411, 198, 279?
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 529, 616, 411, 198, 279.
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}.