LCM of 316, 418, 755, 871, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 316, 418, 755, 871, 646 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 316, 418, 755, 871, 646. So, keep reading to learn more.
Given numbers are 316,418,755,871,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 316,418,755,871,646 is 738324698540.
Find LCM of 316,418,755,871,646 with Prime Factorization
| 2 | 316, 418, 755, 871, 646 |
| 19 | 158, 209, 755, 871, 323 |
| 158, 11, 755, 871, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 158 x 11 x 755 x 871 x 17 = 738324698540
Therefore, the lowest common multiple of 316,418,755,871,646 is 738324698540.
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.
316 x 418 x 755 x 871 x 646 = 56112677089040
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.
316 : 1, 2, 4, 79, 158, 316
418 : 1, 2, 11, 19, 22, 38, 209, 418
755 : 1, 5, 151, 755
871 : 1, 13, 67, 871
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,418,755,871,646, is 1.
Now, the common factors can be found like this.
316:2x 2x 79
418:2x 11x 19
755:5x 151
871:13x 67
646:2x 17x 19
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 19 = 76
Therefore, the value for common factors is 76.
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 = 56112677089040/(1x76)
LCM = 56112677089040/76
LCM = 738324698540
Thus, we can understand that the LCM of 316,418,755,871,646 is 738324698540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 316, 418, 755, 871, 646
1. What is the LCM of 316, 418, 755, 871, 646?
Answer: LCM of 316, 418, 755, 871, 646 is 738324698540.
2. How to calculate the LCM of 316, 418, 755, 871, 646?
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 316, 418, 755, 871, 646.
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}.