LCM of 240, 618, 870, 327, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 618, 870, 327, 880 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, 618, 870, 327, 880. So, keep reading to learn more.
Given numbers are 240,618,870,327,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,618,870,327,880 is 859539120.
Find LCM of 240,618,870,327,880 with Prime Factorization
| 2 | 240, 618, 870, 327, 880 |
| 2 | 120, 309, 435, 327, 440 |
| 2 | 60, 309, 435, 327, 220 |
| 2 | 30, 309, 435, 327, 110 |
| 3 | 15, 309, 435, 327, 55 |
| 5 | 5, 103, 145, 109, 55 |
| 1, 103, 29, 109, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 1 x 103 x 29 x 109 x 11 = 859539120
Therefore, the lowest common multiple of 240,618,870,327,880 is 859539120.
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 618 x 870 x 327 x 880 = 37132089984000
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
618 : 1, 2, 3, 6, 103, 206, 309, 618
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
327 : 1, 3, 109, 327
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,618,870,327,880, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
618:2x 3x 103
870:2x 3x 5x 29
327:3x 109
880:2x 2x 2x 2x 5x 11
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 2x 3x 3x 3x 5x 5 = 43200
Therefore, the value for common factors is 43200.
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 = 37132089984000/(1x43200)
LCM = 37132089984000/43200
LCM = 859539120
Thus, we can understand that the LCM of 240,618,870,327,880 is 859539120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 240, 618, 870, 327, 880
1. What is the LCM of 240, 618, 870, 327, 880?
Answer: LCM of 240, 618, 870, 327, 880 is 859539120.
2. How to calculate the LCM of 240, 618, 870, 327, 880?
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, 618, 870, 327, 880.
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}.