LCM of 988, 579, 663, 527, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 579, 663, 527, 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 988, 579, 663, 527, 279. So, keep reading to learn more.
Given numbers are 988,579,663,527,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,579,663,527,279 is 904414212.
Find LCM of 988,579,663,527,279 with Prime Factorization
| 3 | 988, 579, 663, 527, 279 |
| 13 | 988, 193, 221, 527, 93 |
| 17 | 76, 193, 17, 527, 93 |
| 31 | 76, 193, 1, 31, 93 |
| 76, 193, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 17 x 31 x 76 x 193 x 1 x 1 x 3 = 904414212
Therefore, the lowest common multiple of 988,579,663,527,279 is 904414212.
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.
988 x 579 x 663 x 527 x 279 = 55765275897708
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
579 : 1, 3, 193, 579
663 : 1, 3, 13, 17, 39, 51, 221, 663
527 : 1, 17, 31, 527
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 988,579,663,527,279, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
579:3x 193
663:3x 13x 17
527:17x 31
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.
3x 3x 13x 17x 31 = 61659
Therefore, the value for common factors is 61659.
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 = 55765275897708/(1x61659)
LCM = 55765275897708/61659
LCM = 904414212
Thus, we can understand that the LCM of 988,579,663,527,279 is 904414212.
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FAQs on LCM of 988, 579, 663, 527, 279
1. What is the LCM of 988, 579, 663, 527, 279?
Answer: LCM of 988, 579, 663, 527, 279 is 904414212.
2. How to calculate the LCM of 988, 579, 663, 527, 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 988, 579, 663, 527, 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}.