LCM of 618, 615, 240, 992, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 615, 240, 992, 870 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 618, 615, 240, 992, 870. So, keep reading to learn more.
Given numbers are 618,615,240,992,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,615,240,992,870 is 1822308960.
Find LCM of 618,615,240,992,870 with Prime Factorization
| 2 | 618, 615, 240, 992, 870 |
| 2 | 309, 615, 120, 496, 435 |
| 2 | 309, 615, 60, 248, 435 |
| 2 | 309, 615, 30, 124, 435 |
| 3 | 309, 615, 15, 62, 435 |
| 5 | 103, 205, 5, 62, 145 |
| 103, 41, 1, 62, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 103 x 41 x 1 x 62 x 29 = 1822308960
Therefore, the lowest common multiple of 618,615,240,992,870 is 1822308960.
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.
618 x 615 x 240 x 992 x 870 = 78723747072000
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.
618 : 1, 2, 3, 6, 103, 206, 309, 618
615 : 1, 3, 5, 15, 41, 123, 205, 615
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,615,240,992,870, is 1.
Now, the common factors can be found like this.
618:2x 3x 103
615:3x 5x 41
240:2x 2x 2x 2x 3x 5
992:2x 2x 2x 2x 2x 31
870:2x 3x 5x 29
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 = 78723747072000/(1x43200)
LCM = 78723747072000/43200
LCM = 1822308960
Thus, we can understand that the LCM of 618,615,240,992,870 is 1822308960.
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FAQs on LCM of 618, 615, 240, 992, 870
1. What is the LCM of 618, 615, 240, 992, 870?
Answer: LCM of 618, 615, 240, 992, 870 is 1822308960.
2. How to calculate the LCM of 618, 615, 240, 992, 870?
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 618, 615, 240, 992, 870.
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}.