LCM of 508, 841, 932, 858, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 841, 932, 858, 195 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, 841, 932, 858, 195. So, keep reading to learn more.
Given numbers are 508,841,932,858,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,841,932,858,195 is 213522145980.
Find LCM of 508,841,932,858,195 with Prime Factorization
| 2 | 508, 841, 932, 858, 195 |
| 2 | 254, 841, 466, 429, 195 |
| 3 | 127, 841, 233, 429, 195 |
| 13 | 127, 841, 233, 143, 65 |
| 127, 841, 233, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 127 x 841 x 233 x 11 x 5 = 213522145980
Therefore, the lowest common multiple of 508,841,932,858,195 is 213522145980.
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 841 x 932 x 858 x 195 = 66618909545760
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
841 : 1, 29, 841
932 : 1, 2, 4, 233, 466, 932
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,841,932,858,195, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
841:29x 29
932:2x 2x 233
858:2x 3x 11x 13
195:3x 5x 13
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 13 = 312
Therefore, the value for common factors is 312.
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 = 66618909545760/(1x312)
LCM = 66618909545760/312
LCM = 213522145980
Thus, we can understand that the LCM of 508,841,932,858,195 is 213522145980.
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FAQs on LCM of 508, 841, 932, 858, 195
1. What is the LCM of 508, 841, 932, 858, 195?
Answer: LCM of 508, 841, 932, 858, 195 is 213522145980.
2. How to calculate the LCM of 508, 841, 932, 858, 195?
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, 841, 932, 858, 195.
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}.