LCM of 685, 930, 777, 322, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 930, 777, 322, 376 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 685, 930, 777, 322, 376. So, keep reading to learn more.
Given numbers are 685,930,777,322,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,930,777,322,376 is 142688497560.
Find LCM of 685,930,777,322,376 with Prime Factorization
| 2 | 685, 930, 777, 322, 376 |
| 3 | 685, 465, 777, 161, 188 |
| 5 | 685, 155, 259, 161, 188 |
| 7 | 137, 31, 259, 161, 188 |
| 137, 31, 37, 23, 188 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 137 x 31 x 37 x 23 x 188 = 142688497560
Therefore, the lowest common multiple of 685,930,777,322,376 is 142688497560.
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.
685 x 930 x 777 x 322 x 376 = 59929168975200
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.
685 : 1, 5, 137, 685
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
777 : 1, 3, 7, 21, 37, 111, 259, 777
322 : 1, 2, 7, 14, 23, 46, 161, 322
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,930,777,322,376, is 1.
Now, the common factors can be found like this.
685:5x 137
930:2x 3x 5x 31
777:3x 7x 37
322:2x 7x 23
376:2x 2x 2x 47
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 3x 5x 7 = 420
Therefore, the value for common factors is 420.
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 = 59929168975200/(1x420)
LCM = 59929168975200/420
LCM = 142688497560
Thus, we can understand that the LCM of 685,930,777,322,376 is 142688497560.
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FAQs on LCM of 685, 930, 777, 322, 376
1. What is the LCM of 685, 930, 777, 322, 376?
Answer: LCM of 685, 930, 777, 322, 376 is 142688497560.
2. How to calculate the LCM of 685, 930, 777, 322, 376?
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 685, 930, 777, 322, 376.
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}.