LCM of 166, 987, 646, 188, 953
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 166, 987, 646, 188, 953 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 166, 987, 646, 188, 953. So, keep reading to learn more.
Given numbers are 166,987,646,188,953
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,987,646,188,953 is 100867361196.
Find LCM of 166,987,646,188,953 with Prime Factorization
| 2 | 166, 987, 646, 188, 953 |
| 47 | 83, 987, 323, 94, 953 |
| 83, 21, 323, 2, 953 |
Multiply the prime numbers at the bottom and the left side.
2 x 47 x 83 x 21 x 323 x 2 x 953 = 100867361196
Therefore, the lowest common multiple of 166,987,646,188,953 is 100867361196.
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.
166 x 987 x 646 x 188 x 953 = 18963063904848
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.
166 : 1, 2, 83, 166
987 : 1, 3, 7, 21, 47, 141, 329, 987
646 : 1, 2, 17, 19, 34, 38, 323, 646
188 : 1, 2, 4, 47, 94, 188
953 : 1, 953
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,987,646,188,953, is 1.
Now, the common factors can be found like this.
166:2x 83
987:3x 7x 47
646:2x 17x 19
188:2x 2x 47
953:953
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 47 = 188
Therefore, the value for common factors is 188.
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 = 18963063904848/(1x188)
LCM = 18963063904848/188
LCM = 100867361196
Thus, we can understand that the LCM of 166,987,646,188,953 is 100867361196.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 166, 987, 646, 188, 953
1. What is the LCM of 166, 987, 646, 188, 953?
Answer: LCM of 166, 987, 646, 188, 953 is 100867361196.
2. How to calculate the LCM of 166, 987, 646, 188, 953?
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 166, 987, 646, 188, 953.
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}.