LCM of 508, 969, 895, 885, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 969, 895, 885, 918 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 508, 969, 895, 885, 918. So, keep reading to learn more.
Given numbers are 508,969,895,885,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,969,895,885,918 is 233940301740.
Find LCM of 508,969,895,885,918 with Prime Factorization
| 2 | 508, 969, 895, 885, 918 |
| 3 | 254, 969, 895, 885, 459 |
| 5 | 254, 323, 895, 295, 153 |
| 17 | 254, 323, 179, 59, 153 |
| 254, 19, 179, 59, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 254 x 19 x 179 x 59 x 9 = 233940301740
Therefore, the lowest common multiple of 508,969,895,885,918 is 233940301740.
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.
508 x 969 x 895 x 885 x 918 = 357928661662200
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.
508 : 1, 2, 4, 127, 254, 508
969 : 1, 3, 17, 19, 51, 57, 323, 969
895 : 1, 5, 179, 895
885 : 1, 3, 5, 15, 59, 177, 295, 885
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,969,895,885,918, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
969:3x 17x 19
895:5x 179
885:3x 5x 59
918:2x 3x 3x 3x 17
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 3x 5x 17 = 1530
Therefore, the value for common factors is 1530.
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 = 357928661662200/(1x1530)
LCM = 357928661662200/1530
LCM = 233940301740
Thus, we can understand that the LCM of 508,969,895,885,918 is 233940301740.
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FAQs on LCM of 508, 969, 895, 885, 918
1. What is the LCM of 508, 969, 895, 885, 918?
Answer: LCM of 508, 969, 895, 885, 918 is 233940301740.
2. How to calculate the LCM of 508, 969, 895, 885, 918?
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 508, 969, 895, 885, 918.
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}.