LCM of 685, 990, 726, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 685, 990, 726, 930 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, 990, 726, 930. So, keep reading to learn more.
Given numbers are 685,990,726,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 685,990,726,930 is 46249830.
Find LCM of 685,990,726,930 with Prime Factorization
| 2 | 685, 990, 726, 930 |
| 3 | 685, 495, 363, 465 |
| 5 | 685, 165, 121, 155 |
| 11 | 137, 33, 121, 31 |
| 137, 3, 11, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 137 x 3 x 11 x 31 = 46249830
Therefore, the lowest common multiple of 685,990,726,930 is 46249830.
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 990 x 726 x 930 = 457873317000
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
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,990,726,930, is 1.
Now, the common factors can be found like this.
685:5x 137
990:2x 3x 3x 5x 11
726:2x 3x 11x 11
930:2x 3x 5x 31
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 3x 5x 5x 11 = 9900
Therefore, the value for common factors is 9900.
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 = 457873317000/(1x9900)
LCM = 457873317000/9900
LCM = 46249830
Thus, we can understand that the LCM of 685,990,726,930 is 46249830.
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FAQs on LCM of 685, 990, 726, 930
1. What is the LCM of 685, 990, 726, 930?
Answer: LCM of 685, 990, 726, 930 is 46249830.
2. How to calculate the LCM of 685, 990, 726, 930?
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, 990, 726, 930.
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}.