LCM of 397, 242, 979, 868, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 242, 979, 868, 658 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 397, 242, 979, 868, 658. So, keep reading to learn more.
Given numbers are 397,242,979,868,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,242,979,868,658 is 174414853228.
Find LCM of 397,242,979,868,658 with Prime Factorization
| 2 | 397, 242, 979, 868, 658 |
| 7 | 397, 121, 979, 434, 329 |
| 11 | 397, 121, 979, 62, 47 |
| 397, 11, 89, 62, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 397 x 11 x 89 x 62 x 47 = 174414853228
Therefore, the lowest common multiple of 397,242,979,868,658 is 174414853228.
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.
397 x 242 x 979 x 868 x 658 = 53719774794224
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.
397 : 1, 397
242 : 1, 2, 11, 22, 121, 242
979 : 1, 11, 89, 979
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,242,979,868,658, is 1.
Now, the common factors can be found like this.
397:397
242:2x 11x 11
979:11x 89
868:2x 2x 7x 31
658:2x 7x 47
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 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 53719774794224/(1x308)
LCM = 53719774794224/308
LCM = 174414853228
Thus, we can understand that the LCM of 397,242,979,868,658 is 174414853228.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 397, 242, 979, 868, 658
1. What is the LCM of 397, 242, 979, 868, 658?
Answer: LCM of 397, 242, 979, 868, 658 is 174414853228.
2. How to calculate the LCM of 397, 242, 979, 868, 658?
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 397, 242, 979, 868, 658.
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}.