LCM of 955, 791, 901, 884, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 955, 791, 901, 884, 204 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 955, 791, 901, 884, 204. So, keep reading to learn more.
Given numbers are 955,791,901,884,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 955,791,901,884,204 is 106176705180.
Find LCM of 955,791,901,884,204 with Prime Factorization
| 2 | 955, 791, 901, 884, 204 |
| 2 | 955, 791, 901, 442, 102 |
| 17 | 955, 791, 901, 221, 51 |
| 955, 791, 53, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 955 x 791 x 53 x 13 x 3 = 106176705180
Therefore, the lowest common multiple of 955,791,901,884,204 is 106176705180.
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.
955 x 791 x 901 x 884 x 204 = 122740271188080
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.
955 : 1, 5, 191, 955
791 : 1, 7, 113, 791
901 : 1, 17, 53, 901
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 955,791,901,884,204, is 1.
Now, the common factors can be found like this.
955:5x 191
791:7x 113
901:17x 53
884:2x 2x 13x 17
204:2x 2x 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 2x 17x 17 = 1156
Therefore, the value for common factors is 1156.
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 = 122740271188080/(1x1156)
LCM = 122740271188080/1156
LCM = 106176705180
Thus, we can understand that the LCM of 955,791,901,884,204 is 106176705180.
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FAQs on LCM of 955, 791, 901, 884, 204
1. What is the LCM of 955, 791, 901, 884, 204?
Answer: LCM of 955, 791, 901, 884, 204 is 106176705180.
2. How to calculate the LCM of 955, 791, 901, 884, 204?
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 955, 791, 901, 884, 204.
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}.