LCM of 682, 899, 318, 378, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 899, 318, 378, 742 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, 899, 318, 378, 742. So, keep reading to learn more.
Given numbers are 682,899,318,378,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,899,318,378,742 is 198116226.
Find LCM of 682,899,318,378,742 with Prime Factorization
| 2 | 682, 899, 318, 378, 742 |
| 3 | 341, 899, 159, 189, 371 |
| 7 | 341, 899, 53, 63, 371 |
| 31 | 341, 899, 53, 9, 53 |
| 53 | 11, 29, 53, 9, 53 |
| 11, 29, 1, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 53 x 11 x 29 x 1 x 9 x 1 = 198116226
Therefore, the lowest common multiple of 682,899,318,378,742 is 198116226.
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 899 x 318 x 378 x 742 = 54684833165424
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
899 : 1, 29, 31, 899
318 : 1, 2, 3, 6, 53, 106, 159, 318
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,899,318,378,742, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
899:29x 31
318:2x 3x 53
378:2x 3x 3x 3x 7
742:2x 7x 53
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 3x 7x 31x 53 = 276024
Therefore, the value for common factors is 276024.
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 = 54684833165424/(1x276024)
LCM = 54684833165424/276024
LCM = 198116226
Thus, we can understand that the LCM of 682,899,318,378,742 is 198116226.
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FAQs on LCM of 682, 899, 318, 378, 742
1. What is the LCM of 682, 899, 318, 378, 742?
Answer: LCM of 682, 899, 318, 378, 742 is 198116226.
2. How to calculate the LCM of 682, 899, 318, 378, 742?
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, 899, 318, 378, 742.
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}.