LCM of 168, 527, 558, 684, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 168, 527, 558, 684, 420 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 168, 527, 558, 684, 420. So, keep reading to learn more.
Given numbers are 168,527,558,684,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 168,527,558,684,420 is 25232760.
Find LCM of 168,527,558,684,420 with Prime Factorization
| 2 | 168, 527, 558, 684, 420 |
| 2 | 84, 527, 279, 342, 210 |
| 3 | 42, 527, 279, 171, 105 |
| 3 | 14, 527, 93, 57, 35 |
| 7 | 14, 527, 31, 19, 35 |
| 31 | 2, 527, 31, 19, 5 |
| 2, 17, 1, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 31 x 2 x 17 x 1 x 19 x 5 = 25232760
Therefore, the lowest common multiple of 168,527,558,684,420 is 25232760.
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.
168 x 527 x 558 x 684 x 420 = 14192519120640
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.
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
527 : 1, 17, 31, 527
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,527,558,684,420, is 1.
Now, the common factors can be found like this.
168:2x 2x 2x 3x 7
527:17x 31
558:2x 3x 3x 31
684:2x 2x 3x 3x 19
420:2x 2x 3x 5x 7
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 2x 2x 3x 3x 3x 3x 7x 31 = 562464
Therefore, the value for common factors is 562464.
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 = 14192519120640/(1x562464)
LCM = 14192519120640/562464
LCM = 25232760
Thus, we can understand that the LCM of 168,527,558,684,420 is 25232760.
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FAQs on LCM of 168, 527, 558, 684, 420
1. What is the LCM of 168, 527, 558, 684, 420?
Answer: LCM of 168, 527, 558, 684, 420 is 25232760.
2. How to calculate the LCM of 168, 527, 558, 684, 420?
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 168, 527, 558, 684, 420.
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}.