LCM of 240, 587, 505, 859, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 587, 505, 859, 138 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 240, 587, 505, 859, 138. So, keep reading to learn more.
Given numbers are 240,587,505,859,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,587,505,859,138 is 281119982160.
Find LCM of 240,587,505,859,138 with Prime Factorization
| 2 | 240, 587, 505, 859, 138 |
| 3 | 120, 587, 505, 859, 69 |
| 5 | 40, 587, 505, 859, 23 |
| 8, 587, 101, 859, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 8 x 587 x 101 x 859 x 23 = 281119982160
Therefore, the lowest common multiple of 240,587,505,859,138 is 281119982160.
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.
240 x 587 x 505 x 859 x 138 = 8433599464800
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
587 : 1, 587
505 : 1, 5, 101, 505
859 : 1, 859
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,587,505,859,138, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
587:587
505:5x 101
859:859
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 8433599464800/(1x30)
LCM = 8433599464800/30
LCM = 281119982160
Thus, we can understand that the LCM of 240,587,505,859,138 is 281119982160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 240, 587, 505, 859, 138
1. What is the LCM of 240, 587, 505, 859, 138?
Answer: LCM of 240, 587, 505, 859, 138 is 281119982160.
2. How to calculate the LCM of 240, 587, 505, 859, 138?
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 240, 587, 505, 859, 138.
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}.