LCM of 118, 208, 463, 688, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 118, 208, 463, 688, 788 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 118, 208, 463, 688, 788. So, keep reading to learn more.
Given numbers are 118,208,463,688,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 118,208,463,688,788 is 48131679856.
Find LCM of 118,208,463,688,788 with Prime Factorization
| 2 | 118, 208, 463, 688, 788 |
| 2 | 59, 104, 463, 344, 394 |
| 2 | 59, 52, 463, 172, 197 |
| 2 | 59, 26, 463, 86, 197 |
| 59, 13, 463, 43, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 59 x 13 x 463 x 43 x 197 = 48131679856
Therefore, the lowest common multiple of 118,208,463,688,788 is 48131679856.
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.
118 x 208 x 463 x 688 x 788 = 6160855021568
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.
118 : 1, 2, 59, 118
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
463 : 1, 463
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 118,208,463,688,788, is 1.
Now, the common factors can be found like this.
118:2x 59
208:2x 2x 2x 2x 13
463:463
688:2x 2x 2x 2x 43
788:2x 2x 197
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 2 = 128
Therefore, the value for common factors is 128.
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 = 6160855021568/(1x128)
LCM = 6160855021568/128
LCM = 48131679856
Thus, we can understand that the LCM of 118,208,463,688,788 is 48131679856.
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FAQs on LCM of 118, 208, 463, 688, 788
1. What is the LCM of 118, 208, 463, 688, 788?
Answer: LCM of 118, 208, 463, 688, 788 is 48131679856.
2. How to calculate the LCM of 118, 208, 463, 688, 788?
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 118, 208, 463, 688, 788.
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}.