LCM of 977, 127, 438, 871, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 977, 127, 438, 871, 286 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 977, 127, 438, 871, 286. So, keep reading to learn more.
Given numbers are 977,127,438,871,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,127,438,871,286 is 520694793762.
Find LCM of 977,127,438,871,286 with Prime Factorization
| 2 | 977, 127, 438, 871, 286 |
| 13 | 977, 127, 219, 871, 143 |
| 977, 127, 219, 67, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 977 x 127 x 219 x 67 x 11 = 520694793762
Therefore, the lowest common multiple of 977,127,438,871,286 is 520694793762.
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.
977 x 127 x 438 x 871 x 286 = 13538064637812
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.
977 : 1, 977
127 : 1, 127
438 : 1, 2, 3, 6, 73, 146, 219, 438
871 : 1, 13, 67, 871
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,127,438,871,286, is 1.
Now, the common factors can be found like this.
977:977
127:127
438:2x 3x 73
871:13x 67
286:2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13 = 26
Therefore, the value for common factors is 26.
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 = 13538064637812/(1x26)
LCM = 13538064637812/26
LCM = 520694793762
Thus, we can understand that the LCM of 977,127,438,871,286 is 520694793762.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 977, 127, 438, 871, 286
1. What is the LCM of 977, 127, 438, 871, 286?
Answer: LCM of 977, 127, 438, 871, 286 is 520694793762.
2. How to calculate the LCM of 977, 127, 438, 871, 286?
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 977, 127, 438, 871, 286.
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}.