LCM of 945, 593, 726, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 593, 726, 990 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 945, 593, 726, 990. So, keep reading to learn more.
Given numbers are 945,593,726,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,593,726,990 is 135613170.
Find LCM of 945,593,726,990 with Prime Factorization
| 2 | 945, 593, 726, 990 |
| 3 | 945, 593, 363, 495 |
| 3 | 315, 593, 121, 165 |
| 5 | 105, 593, 121, 55 |
| 11 | 21, 593, 121, 11 |
| 21, 593, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 21 x 593 x 1 x 11 = 135613170
Therefore, the lowest common multiple of 945,593,726,990 is 135613170.
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.
945 x 593 x 726 x 990 = 402771114900
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
593 : 1, 593
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,593,726,990, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
593:593
726:2x 3x 11x 11
990:2x 3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 11 = 2970
Therefore, the value for common factors is 2970.
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 = 402771114900/(1x2970)
LCM = 402771114900/2970
LCM = 135613170
Thus, we can understand that the LCM of 945,593,726,990 is 135613170.
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FAQs on LCM of 945, 593, 726, 990
1. What is the LCM of 945, 593, 726, 990?
Answer: LCM of 945, 593, 726, 990 is 135613170.
2. How to calculate the LCM of 945, 593, 726, 990?
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 945, 593, 726, 990.
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}.