LCM of 8, 788, 152, 394
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 8, 788, 152, 394 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 8, 788, 152, 394. So, keep reading to learn more.
Given numbers are 8,788,152,394
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8,788,152,394 is 29944.
Find LCM of 8,788,152,394 with Prime Factorization
| 2 | 8, 788, 152, 394 |
| 2 | 4, 394, 76, 197 |
| 2 | 2, 197, 38, 197 |
| 197 | 1, 197, 19, 197 |
| 1, 1, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 197 x 1 x 1 x 19 x 1 = 29944
Therefore, the lowest common multiple of 8,788,152,394 is 29944.
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.
8 x 788 x 152 x 394 = 377533952
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.
8 : 1, 2, 4, 8
788 : 1, 2, 4, 197, 394, 788
152 : 1, 2, 4, 8, 19, 38, 76, 152
394 : 1, 2, 197, 394
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,788,152,394, is 2.
Now, the common factors can be found like this.
8:2x 2x 2
788:2x 2x 197
152:2x 2x 2x 19
394:2x 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 197 = 6304
Therefore, the value for common factors is 6304.
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 = 377533952/(2x6304)
LCM = 377533952/12608
LCM = 29944
Thus, we can understand that the LCM of 8,788,152,394 is 29944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 8, 788, 152, 394
1. What is the LCM of 8, 788, 152, 394?
Answer: LCM of 8, 788, 152, 394 is 29944.
2. How to calculate the LCM of 8, 788, 152, 394?
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 8, 788, 152, 394.
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}.