LCM of 695, 963, 945, 939, 738
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 963, 945, 939, 738 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 695, 963, 945, 939, 738. So, keep reading to learn more.
Given numbers are 695,963,945,939,738
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,963,945,939,738 is 360735245010.
Find LCM of 695,963,945,939,738 with Prime Factorization
| 3 | 695, 963, 945, 939, 738 |
| 3 | 695, 321, 315, 313, 246 |
| 5 | 695, 107, 105, 313, 82 |
| 139, 107, 21, 313, 82 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 139 x 107 x 21 x 313 x 82 = 360735245010
Therefore, the lowest common multiple of 695,963,945,939,738 is 360735245010.
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.
695 x 963 x 945 x 939 x 738 = 438293322687150
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.
695 : 1, 5, 139, 695
963 : 1, 3, 9, 107, 321, 963
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
939 : 1, 3, 313, 939
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,963,945,939,738, is 1.
Now, the common factors can be found like this.
695:5x 139
963:3x 3x 107
945:3x 3x 3x 5x 7
939:3x 313
738:2x 3x 3x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5 = 1215
Therefore, the value for common factors is 1215.
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 = 438293322687150/(1x1215)
LCM = 438293322687150/1215
LCM = 360735245010
Thus, we can understand that the LCM of 695,963,945,939,738 is 360735245010.
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FAQs on LCM of 695, 963, 945, 939, 738
1. What is the LCM of 695, 963, 945, 939, 738?
Answer: LCM of 695, 963, 945, 939, 738 is 360735245010.
2. How to calculate the LCM of 695, 963, 945, 939, 738?
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 695, 963, 945, 939, 738.
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}.