LCM of 963, 749, 945, 201
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 749, 945, 201 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 963, 749, 945, 201. So, keep reading to learn more.
Given numbers are 963,749,945,201
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,749,945,201 is 6774705.
Find LCM of 963,749,945,201 with Prime Factorization
| 3 | 963, 749, 945, 201 |
| 3 | 321, 749, 315, 67 |
| 7 | 107, 749, 105, 67 |
| 107 | 107, 107, 15, 67 |
| 1, 1, 15, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 107 x 1 x 1 x 15 x 67 = 6774705
Therefore, the lowest common multiple of 963,749,945,201 is 6774705.
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.
963 x 749 x 945 x 201 = 137004859215
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.
963 : 1, 3, 9, 107, 321, 963
749 : 1, 7, 107, 749
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
201 : 1, 3, 67, 201
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,749,945,201, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
749:7x 107
945:3x 3x 3x 5x 7
201:3x 67
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 7x 107 = 20223
Therefore, the value for common factors is 20223.
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 = 137004859215/(1x20223)
LCM = 137004859215/20223
LCM = 6774705
Thus, we can understand that the LCM of 963,749,945,201 is 6774705.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 963, 749, 945, 201
1. What is the LCM of 963, 749, 945, 201?
Answer: LCM of 963, 749, 945, 201 is 6774705.
2. How to calculate the LCM of 963, 749, 945, 201?
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 963, 749, 945, 201.
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}.