LCM of 824, 612, 388, 294, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 612, 388, 294, 745 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 824, 612, 388, 294, 745. So, keep reading to learn more.
Given numbers are 824,612,388,294,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,612,388,294,745 is 446419060920.
Find LCM of 824,612,388,294,745 with Prime Factorization
| 2 | 824, 612, 388, 294, 745 |
| 2 | 412, 306, 194, 147, 745 |
| 3 | 206, 153, 97, 147, 745 |
| 206, 51, 97, 49, 745 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 206 x 51 x 97 x 49 x 745 = 446419060920
Therefore, the lowest common multiple of 824,612,388,294,745 is 446419060920.
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.
824 x 612 x 388 x 294 x 745 = 42856229848320
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
388 : 1, 2, 4, 97, 194, 388
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,612,388,294,745, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
612:2x 2x 3x 3x 17
388:2x 2x 97
294:2x 3x 7x 7
745:5x 149
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 3 = 96
Therefore, the value for common factors is 96.
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 = 42856229848320/(1x96)
LCM = 42856229848320/96
LCM = 446419060920
Thus, we can understand that the LCM of 824,612,388,294,745 is 446419060920.
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FAQs on LCM of 824, 612, 388, 294, 745
1. What is the LCM of 824, 612, 388, 294, 745?
Answer: LCM of 824, 612, 388, 294, 745 is 446419060920.
2. How to calculate the LCM of 824, 612, 388, 294, 745?
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 824, 612, 388, 294, 745.
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}.