LCM of 859, 800, 759, 840, 925
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 859, 800, 759, 840, 925 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 859, 800, 759, 840, 925. So, keep reading to learn more.
Given numbers are 859,800,759,840,925
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,800,759,840,925 is 135090463200.
Find LCM of 859,800,759,840,925 with Prime Factorization
| 2 | 859, 800, 759, 840, 925 |
| 2 | 859, 400, 759, 420, 925 |
| 2 | 859, 200, 759, 210, 925 |
| 3 | 859, 100, 759, 105, 925 |
| 5 | 859, 100, 253, 35, 925 |
| 5 | 859, 20, 253, 7, 185 |
| 859, 4, 253, 7, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 5 x 859 x 4 x 253 x 7 x 37 = 135090463200
Therefore, the lowest common multiple of 859,800,759,840,925 is 135090463200.
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.
859 x 800 x 759 x 840 x 925 = 405271389600000
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.
859 : 1, 859
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
759 : 1, 3, 11, 23, 33, 69, 253, 759
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
925 : 1, 5, 25, 37, 185, 925
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,800,759,840,925, is 1.
Now, the common factors can be found like this.
859:859
800:2x 2x 2x 2x 2x 5x 5
759:3x 11x 23
840:2x 2x 2x 3x 5x 7
925:5x 5x 37
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 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 405271389600000/(1x3000)
LCM = 405271389600000/3000
LCM = 135090463200
Thus, we can understand that the LCM of 859,800,759,840,925 is 135090463200.
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FAQs on LCM of 859, 800, 759, 840, 925
1. What is the LCM of 859, 800, 759, 840, 925?
Answer: LCM of 859, 800, 759, 840, 925 is 135090463200.
2. How to calculate the LCM of 859, 800, 759, 840, 925?
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 859, 800, 759, 840, 925.
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}.