LCM of 658, 488, 856, 796, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 658, 488, 856, 796, 120 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 658, 488, 856, 796, 120. So, keep reading to learn more.
Given numbers are 658,488,856,796,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,488,856,796,120 is 51279506040.
Find LCM of 658,488,856,796,120 with Prime Factorization
| 2 | 658, 488, 856, 796, 120 |
| 2 | 329, 244, 428, 398, 60 |
| 2 | 329, 122, 214, 199, 30 |
| 329, 61, 107, 199, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 329 x 61 x 107 x 199 x 15 = 51279506040
Therefore, the lowest common multiple of 658,488,856,796,120 is 51279506040.
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.
658 x 488 x 856 x 796 x 120 = 26255107092480
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
488 : 1, 2, 4, 8, 61, 122, 244, 488
856 : 1, 2, 4, 8, 107, 214, 428, 856
796 : 1, 2, 4, 199, 398, 796
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,488,856,796,120, is 2.
Now, the common factors can be found like this.
658:2x 7x 47
488:2x 2x 2x 61
856:2x 2x 2x 107
796:2x 2x 199
120:2x 2x 2x 3x 5
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 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 26255107092480/(2x256)
LCM = 26255107092480/512
LCM = 51279506040
Thus, we can understand that the LCM of 658,488,856,796,120 is 51279506040.
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FAQs on LCM of 658, 488, 856, 796, 120
1. What is the LCM of 658, 488, 856, 796, 120?
Answer: LCM of 658, 488, 856, 796, 120 is 51279506040.
2. How to calculate the LCM of 658, 488, 856, 796, 120?
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 658, 488, 856, 796, 120.
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}.