LCM of 131, 328, 955, 656, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 131, 328, 955, 656, 835 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 131, 328, 955, 656, 835. So, keep reading to learn more.
Given numbers are 131,328,955,656,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 131,328,955,656,835 is 13705502960.
Find LCM of 131,328,955,656,835 with Prime Factorization
| 2 | 131, 328, 955, 656, 835 |
| 2 | 131, 164, 955, 328, 835 |
| 2 | 131, 82, 955, 164, 835 |
| 5 | 131, 41, 955, 82, 835 |
| 41 | 131, 41, 191, 82, 167 |
| 131, 1, 191, 2, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 41 x 131 x 1 x 191 x 2 x 167 = 13705502960
Therefore, the lowest common multiple of 131,328,955,656,835 is 13705502960.
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.
131 x 328 x 955 x 656 x 835 = 22477024854400
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.
131 : 1, 131
328 : 1, 2, 4, 8, 41, 82, 164, 328
955 : 1, 5, 191, 955
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 131,328,955,656,835, is 1.
Now, the common factors can be found like this.
131:131
328:2x 2x 2x 41
955:5x 191
656:2x 2x 2x 2x 41
835:5x 167
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 5x 41 = 1640
Therefore, the value for common factors is 1640.
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 = 22477024854400/(1x1640)
LCM = 22477024854400/1640
LCM = 13705502960
Thus, we can understand that the LCM of 131,328,955,656,835 is 13705502960.
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FAQs on LCM of 131, 328, 955, 656, 835
1. What is the LCM of 131, 328, 955, 656, 835?
Answer: LCM of 131, 328, 955, 656, 835 is 13705502960.
2. How to calculate the LCM of 131, 328, 955, 656, 835?
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 131, 328, 955, 656, 835.
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}.