LCM of 991, 305, 676, 570, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 305, 676, 570, 715 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 991, 305, 676, 570, 715. So, keep reading to learn more.
Given numbers are 991,305,676,570,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,305,676,570,715 is 128111386260.
Find LCM of 991,305,676,570,715 with Prime Factorization
| 2 | 991, 305, 676, 570, 715 |
| 5 | 991, 305, 338, 285, 715 |
| 13 | 991, 61, 338, 57, 143 |
| 991, 61, 26, 57, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 991 x 61 x 26 x 57 x 11 = 128111386260
Therefore, the lowest common multiple of 991,305,676,570,715 is 128111386260.
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.
991 x 305 x 676 x 570 x 715 = 83272401069000
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.
991 : 1, 991
305 : 1, 5, 61, 305
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,305,676,570,715, is 1.
Now, the common factors can be found like this.
991:991
305:5x 61
676:2x 2x 13x 13
570:2x 3x 5x 19
715:5x 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 5x 5x 13 = 650
Therefore, the value for common factors is 650.
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 = 83272401069000/(1x650)
LCM = 83272401069000/650
LCM = 128111386260
Thus, we can understand that the LCM of 991,305,676,570,715 is 128111386260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 991, 305, 676, 570, 715
1. What is the LCM of 991, 305, 676, 570, 715?
Answer: LCM of 991, 305, 676, 570, 715 is 128111386260.
2. How to calculate the LCM of 991, 305, 676, 570, 715?
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 991, 305, 676, 570, 715.
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}.