LCM of 931, 986, 748, 635, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 931, 986, 748, 635, 280 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 931, 986, 748, 635, 280. So, keep reading to learn more.
Given numbers are 931,986,748,635,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,986,748,635,280 is 25647970040.
Find LCM of 931,986,748,635,280 with Prime Factorization
| 2 | 931, 986, 748, 635, 280 |
| 2 | 931, 493, 374, 635, 140 |
| 5 | 931, 493, 187, 635, 70 |
| 7 | 931, 493, 187, 127, 14 |
| 17 | 133, 493, 187, 127, 2 |
| 133, 29, 11, 127, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 17 x 133 x 29 x 11 x 127 x 2 = 25647970040
Therefore, the lowest common multiple of 931,986,748,635,280 is 25647970040.
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.
931 x 986 x 748 x 635 x 280 = 122084337390400
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.
931 : 1, 7, 19, 49, 133, 931
986 : 1, 2, 17, 29, 34, 58, 493, 986
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
635 : 1, 5, 127, 635
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,986,748,635,280, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
986:2x 17x 29
748:2x 2x 11x 17
635:5x 127
280:2x 2x 2x 5x 7
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 2x 5x 7x 17 = 4760
Therefore, the value for common factors is 4760.
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 = 122084337390400/(1x4760)
LCM = 122084337390400/4760
LCM = 25647970040
Thus, we can understand that the LCM of 931,986,748,635,280 is 25647970040.
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FAQs on LCM of 931, 986, 748, 635, 280
1. What is the LCM of 931, 986, 748, 635, 280?
Answer: LCM of 931, 986, 748, 635, 280 is 25647970040.
2. How to calculate the LCM of 931, 986, 748, 635, 280?
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 931, 986, 748, 635, 280.
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}.