LCM of 837, 966, 542, 327, 205
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 966, 542, 327, 205 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 837, 966, 542, 327, 205. So, keep reading to learn more.
Given numbers are 837,966,542,327,205
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,966,542,327,205 is 1632040679430.
Find LCM of 837,966,542,327,205 with Prime Factorization
| 2 | 837, 966, 542, 327, 205 |
| 3 | 837, 483, 271, 327, 205 |
| 279, 161, 271, 109, 205 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 279 x 161 x 271 x 109 x 205 = 1632040679430
Therefore, the lowest common multiple of 837,966,542,327,205 is 1632040679430.
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.
837 x 966 x 542 x 327 x 205 = 29376732229740
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
542 : 1, 2, 271, 542
327 : 1, 3, 109, 327
205 : 1, 5, 41, 205
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,966,542,327,205, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
966:2x 3x 7x 23
542:2x 271
327:3x 109
205:5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 29376732229740/(1x18)
LCM = 29376732229740/18
LCM = 1632040679430
Thus, we can understand that the LCM of 837,966,542,327,205 is 1632040679430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 837, 966, 542, 327, 205
1. What is the LCM of 837, 966, 542, 327, 205?
Answer: LCM of 837, 966, 542, 327, 205 is 1632040679430.
2. How to calculate the LCM of 837, 966, 542, 327, 205?
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 837, 966, 542, 327, 205.
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}.