LCM of 997, 908, 980, 756, 982
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 997, 908, 980, 756, 982 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 997, 908, 980, 756, 982. So, keep reading to learn more.
Given numbers are 997,908,980,756,982
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 997,908,980,756,982 is 2940304763340.
Find LCM of 997,908,980,756,982 with Prime Factorization
| 2 | 997, 908, 980, 756, 982 |
| 2 | 997, 454, 490, 378, 491 |
| 7 | 997, 227, 245, 189, 491 |
| 997, 227, 35, 27, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 997 x 227 x 35 x 27 x 491 = 2940304763340
Therefore, the lowest common multiple of 997,908,980,756,982 is 2940304763340.
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.
997 x 908 x 980 x 756 x 982 = 658628266988160
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.
997 : 1, 997
908 : 1, 2, 4, 227, 454, 908
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
982 : 1, 2, 491, 982
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 997,908,980,756,982, is 1.
Now, the common factors can be found like this.
997:997
908:2x 2x 227
980:2x 2x 5x 7x 7
756:2x 2x 3x 3x 3x 7
982:2x 491
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 2x 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 658628266988160/(1x224)
LCM = 658628266988160/224
LCM = 2940304763340
Thus, we can understand that the LCM of 997,908,980,756,982 is 2940304763340.
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FAQs on LCM of 997, 908, 980, 756, 982
1. What is the LCM of 997, 908, 980, 756, 982?
Answer: LCM of 997, 908, 980, 756, 982 is 2940304763340.
2. How to calculate the LCM of 997, 908, 980, 756, 982?
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 997, 908, 980, 756, 982.
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}.