LCM of 892, 608, 803, 308, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 892, 608, 803, 308, 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 892, 608, 803, 308, 788. So, keep reading to learn more.
Given numbers are 892,608,803,308,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,608,803,308,788 is 150137179808.
Find LCM of 892,608,803,308,788 with Prime Factorization
| 2 | 892, 608, 803, 308, 788 |
| 2 | 446, 304, 803, 154, 394 |
| 11 | 223, 152, 803, 77, 197 |
| 223, 152, 73, 7, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 223 x 152 x 73 x 7 x 197 = 150137179808
Therefore, the lowest common multiple of 892,608,803,308,788 is 150137179808.
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.
892 x 608 x 803 x 308 x 788 = 105696574584832
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.
892 : 1, 2, 4, 223, 446, 892
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
803 : 1, 11, 73, 803
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
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 892,608,803,308,788, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
608:2x 2x 2x 2x 2x 19
803:11x 73
308:2x 2x 7x 11
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 11 = 704
Therefore, the value for common factors is 704.
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 = 105696574584832/(1x704)
LCM = 105696574584832/704
LCM = 150137179808
Thus, we can understand that the LCM of 892,608,803,308,788 is 150137179808.
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FAQs on LCM of 892, 608, 803, 308, 788
1. What is the LCM of 892, 608, 803, 308, 788?
Answer: LCM of 892, 608, 803, 308, 788 is 150137179808.
2. How to calculate the LCM of 892, 608, 803, 308, 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 892, 608, 803, 308, 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}.