LCM of 682, 748, 689, 427, 976
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 748, 689, 427, 976 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 682, 748, 689, 427, 976. So, keep reading to learn more.
Given numbers are 682,748,689,427,976
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,748,689,427,976 is 27287916656.
Find LCM of 682,748,689,427,976 with Prime Factorization
| 2 | 682, 748, 689, 427, 976 |
| 2 | 341, 374, 689, 427, 488 |
| 11 | 341, 187, 689, 427, 244 |
| 61 | 31, 17, 689, 427, 244 |
| 31, 17, 689, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 61 x 31 x 17 x 689 x 7 x 4 = 27287916656
Therefore, the lowest common multiple of 682,748,689,427,976 is 27287916656.
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.
682 x 748 x 689 x 427 x 976 = 146481536609408
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
689 : 1, 13, 53, 689
427 : 1, 7, 61, 427
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,748,689,427,976, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
748:2x 2x 11x 17
689:13x 53
427:7x 61
976:2x 2x 2x 2x 61
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 11x 61 = 5368
Therefore, the value for common factors is 5368.
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 = 146481536609408/(1x5368)
LCM = 146481536609408/5368
LCM = 27287916656
Thus, we can understand that the LCM of 682,748,689,427,976 is 27287916656.
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FAQs on LCM of 682, 748, 689, 427, 976
1. What is the LCM of 682, 748, 689, 427, 976?
Answer: LCM of 682, 748, 689, 427, 976 is 27287916656.
2. How to calculate the LCM of 682, 748, 689, 427, 976?
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 682, 748, 689, 427, 976.
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}.