LCM of 805, 114, 918, 901, 235
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 805, 114, 918, 901, 235 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 805, 114, 918, 901, 235. So, keep reading to learn more.
Given numbers are 805,114,918,901,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,114,918,901,235 is 34975657710.
Find LCM of 805,114,918,901,235 with Prime Factorization
| 2 | 805, 114, 918, 901, 235 |
| 3 | 805, 57, 459, 901, 235 |
| 5 | 805, 19, 153, 901, 235 |
| 17 | 161, 19, 153, 901, 47 |
| 161, 19, 9, 53, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 161 x 19 x 9 x 53 x 47 = 34975657710
Therefore, the lowest common multiple of 805,114,918,901,235 is 34975657710.
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.
805 x 114 x 918 x 901 x 235 = 17837585432100
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
114 : 1, 2, 3, 6, 19, 38, 57, 114
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
901 : 1, 17, 53, 901
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,114,918,901,235, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
114:2x 3x 19
918:2x 3x 3x 3x 17
901:17x 53
235:5x 47
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 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 17837585432100/(1x510)
LCM = 17837585432100/510
LCM = 34975657710
Thus, we can understand that the LCM of 805,114,918,901,235 is 34975657710.
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FAQs on LCM of 805, 114, 918, 901, 235
1. What is the LCM of 805, 114, 918, 901, 235?
Answer: LCM of 805, 114, 918, 901, 235 is 34975657710.
2. How to calculate the LCM of 805, 114, 918, 901, 235?
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 805, 114, 918, 901, 235.
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}.