LCM of 720, 855, 618, 647, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 720, 855, 618, 647, 548 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 720, 855, 618, 647, 548. So, keep reading to learn more.
Given numbers are 720,855,618,647,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 720,855,618,647,548 is 124895896560.
Find LCM of 720,855,618,647,548 with Prime Factorization
| 2 | 720, 855, 618, 647, 548 |
| 2 | 360, 855, 309, 647, 274 |
| 3 | 180, 855, 309, 647, 137 |
| 3 | 60, 285, 103, 647, 137 |
| 5 | 20, 95, 103, 647, 137 |
| 4, 19, 103, 647, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 4 x 19 x 103 x 647 x 137 = 124895896560
Therefore, the lowest common multiple of 720,855,618,647,548 is 124895896560.
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.
720 x 855 x 618 x 647 x 548 = 134887568284800
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.
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
618 : 1, 2, 3, 6, 103, 206, 309, 618
647 : 1, 647
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,855,618,647,548, is 1.
Now, the common factors can be found like this.
720:2x 2x 2x 2x 3x 3x 5
855:3x 3x 5x 19
618:2x 3x 103
647:647
548:2x 2x 137
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 5 = 1080
Therefore, the value for common factors is 1080.
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 = 134887568284800/(1x1080)
LCM = 134887568284800/1080
LCM = 124895896560
Thus, we can understand that the LCM of 720,855,618,647,548 is 124895896560.
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FAQs on LCM of 720, 855, 618, 647, 548
1. What is the LCM of 720, 855, 618, 647, 548?
Answer: LCM of 720, 855, 618, 647, 548 is 124895896560.
2. How to calculate the LCM of 720, 855, 618, 647, 548?
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 720, 855, 618, 647, 548.
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}.