LCM of 558, 739, 840, 217, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 739, 840, 217, 900 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, 739, 840, 217, 900. So, keep reading to learn more.
Given numbers are 558,739,840,217,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,739,840,217,900 is 288653400.
Find LCM of 558,739,840,217,900 with Prime Factorization
| 2 | 558, 739, 840, 217, 900 |
| 2 | 279, 739, 420, 217, 450 |
| 3 | 279, 739, 210, 217, 225 |
| 3 | 93, 739, 70, 217, 75 |
| 5 | 31, 739, 70, 217, 25 |
| 7 | 31, 739, 14, 217, 5 |
| 31 | 31, 739, 2, 31, 5 |
| 1, 739, 2, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 31 x 1 x 739 x 2 x 1 x 5 = 288653400
Therefore, the lowest common multiple of 558,739,840,217,900 is 288653400.
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 739 x 840 x 217 x 900 = 67648810824000
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
739 : 1, 739
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
217 : 1, 7, 31, 217
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,739,840,217,900, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
739:739
840:2x 2x 2x 3x 5x 7
217:7x 31
900:2x 2x 3x 3x 5x 5
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 5x 7x 31 = 234360
Therefore, the value for common factors is 234360.
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 = 67648810824000/(1x234360)
LCM = 67648810824000/234360
LCM = 288653400
Thus, we can understand that the LCM of 558,739,840,217,900 is 288653400.
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FAQs on LCM of 558, 739, 840, 217, 900
1. What is the LCM of 558, 739, 840, 217, 900?
Answer: LCM of 558, 739, 840, 217, 900 is 288653400.
2. How to calculate the LCM of 558, 739, 840, 217, 900?
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, 739, 840, 217, 900.
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}.