LCM of 161, 976, 838, 253, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 976, 838, 253, 946 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 161, 976, 838, 253, 946. So, keep reading to learn more.
Given numbers are 161,976,838,253,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,976,838,253,946 is 31142312432.
Find LCM of 161,976,838,253,946 with Prime Factorization
| 2 | 161, 976, 838, 253, 946 |
| 11 | 161, 488, 419, 253, 473 |
| 23 | 161, 488, 419, 23, 43 |
| 7, 488, 419, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 7 x 488 x 419 x 1 x 43 = 31142312432
Therefore, the lowest common multiple of 161,976,838,253,946 is 31142312432.
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.
161 x 976 x 838 x 253 x 946 = 31516020181184
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.
161 : 1, 7, 23, 161
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
838 : 1, 2, 419, 838
253 : 1, 11, 23, 253
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,976,838,253,946, is 1.
Now, the common factors can be found like this.
161:7x 23
976:2x 2x 2x 2x 61
838:2x 419
253:11x 23
946:2x 11x 43
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 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 31516020181184/(1x1012)
LCM = 31516020181184/1012
LCM = 31142312432
Thus, we can understand that the LCM of 161,976,838,253,946 is 31142312432.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 161, 976, 838, 253, 946
1. What is the LCM of 161, 976, 838, 253, 946?
Answer: LCM of 161, 976, 838, 253, 946 is 31142312432.
2. How to calculate the LCM of 161, 976, 838, 253, 946?
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 161, 976, 838, 253, 946.
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}.