LCM of 558, 874, 558, 522, 279
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 874, 558, 522, 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 558, 874, 558, 522, 279. So, keep reading to learn more.
Given numbers are 558,874,558,522,279
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,874,558,522,279 is 7071534.
Find LCM of 558,874,558,522,279 with Prime Factorization
| 2 | 558, 874, 558, 522, 279 |
| 3 | 279, 437, 279, 261, 279 |
| 3 | 93, 437, 93, 87, 93 |
| 31 | 31, 437, 31, 29, 31 |
| 1, 437, 1, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 1 x 437 x 1 x 29 x 1 = 7071534
Therefore, the lowest common multiple of 558,874,558,522,279 is 7071534.
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.
558 x 874 x 558 x 522 x 279 = 39632780022768
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
874 : 1, 2, 19, 23, 38, 46, 437, 874
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
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 558,874,558,522,279, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
874:2x 19x 23
558:2x 3x 3x 31
522:2x 3x 3x 29
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 2x 2x 3x 3x 3x 3x 3x 3x 31x 31 = 5604552
Therefore, the value for common factors is 5604552.
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 = 39632780022768/(1x5604552)
LCM = 39632780022768/5604552
LCM = 7071534
Thus, we can understand that the LCM of 558,874,558,522,279 is 7071534.
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FAQs on LCM of 558, 874, 558, 522, 279
1. What is the LCM of 558, 874, 558, 522, 279?
Answer: LCM of 558, 874, 558, 522, 279 is 7071534.
2. How to calculate the LCM of 558, 874, 558, 522, 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 558, 874, 558, 522, 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}.