LCM of 985, 133, 913, 328, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 985, 133, 913, 328, 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 985, 133, 913, 328, 788. So, keep reading to learn more.
Given numbers are 985,133,913,328,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,133,913,328,788 is 39231281320.
Find LCM of 985,133,913,328,788 with Prime Factorization
| 2 | 985, 133, 913, 328, 788 |
| 2 | 985, 133, 913, 164, 394 |
| 197 | 985, 133, 913, 82, 197 |
| 5, 133, 913, 82, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 197 x 5 x 133 x 913 x 82 x 1 = 39231281320
Therefore, the lowest common multiple of 985,133,913,328,788 is 39231281320.
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.
985 x 133 x 913 x 328 x 788 = 30914249680160
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.
985 : 1, 5, 197, 985
133 : 1, 7, 19, 133
913 : 1, 11, 83, 913
328 : 1, 2, 4, 8, 41, 82, 164, 328
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 985,133,913,328,788, is 1.
Now, the common factors can be found like this.
985:5x 197
133:7x 19
913:11x 83
328:2x 2x 2x 41
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 197 = 788
Therefore, the value for common factors is 788.
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 = 30914249680160/(1x788)
LCM = 30914249680160/788
LCM = 39231281320
Thus, we can understand that the LCM of 985,133,913,328,788 is 39231281320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 985, 133, 913, 328, 788
1. What is the LCM of 985, 133, 913, 328, 788?
Answer: LCM of 985, 133, 913, 328, 788 is 39231281320.
2. How to calculate the LCM of 985, 133, 913, 328, 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 985, 133, 913, 328, 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}.