LCM of 618, 170, 816, 138, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 618, 170, 816, 138, 901 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, 170, 816, 138, 901. So, keep reading to learn more.
Given numbers are 618,170,816,138,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 618,170,816,138,901 is 512272560.
Find LCM of 618,170,816,138,901 with Prime Factorization
| 2 | 618, 170, 816, 138, 901 |
| 3 | 309, 85, 408, 69, 901 |
| 17 | 103, 85, 136, 23, 901 |
| 103, 5, 8, 23, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 103 x 5 x 8 x 23 x 53 = 512272560
Therefore, the lowest common multiple of 618,170,816,138,901 is 512272560.
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 170 x 816 x 138 x 901 = 10659367428480
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
170 : 1, 2, 5, 10, 17, 34, 85, 170
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
138 : 1, 2, 3, 6, 23, 46, 69, 138
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 618,170,816,138,901, is 1.
Now, the common factors can be found like this.
618:2x 3x 103
170:2x 5x 17
816:2x 2x 2x 2x 3x 17
138:2x 3x 23
901:17x 53
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 17x 17 = 20808
Therefore, the value for common factors is 20808.
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 = 10659367428480/(1x20808)
LCM = 10659367428480/20808
LCM = 512272560
Thus, we can understand that the LCM of 618,170,816,138,901 is 512272560.
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FAQs on LCM of 618, 170, 816, 138, 901
1. What is the LCM of 618, 170, 816, 138, 901?
Answer: LCM of 618, 170, 816, 138, 901 is 512272560.
2. How to calculate the LCM of 618, 170, 816, 138, 901?
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, 170, 816, 138, 901.
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}.