LCM of 612, 769, 945, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 612, 769, 945, 909 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 612, 769, 945, 909. So, keep reading to learn more.
Given numbers are 612,769,945,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 612,769,945,909 is 4991009940.
Find LCM of 612,769,945,909 with Prime Factorization
| 3 | 612, 769, 945, 909 |
| 3 | 204, 769, 315, 303 |
| 68, 769, 105, 101 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 68 x 769 x 105 x 101 = 4991009940
Therefore, the lowest common multiple of 612,769,945,909 is 4991009940.
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.
612 x 769 x 945 x 909 = 404271805140
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.
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
769 : 1, 769
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 612,769,945,909, is 1.
Now, the common factors can be found like this.
612:2x 2x 3x 3x 17
769:769
945:3x 3x 3x 5x 7
909:3x 3x 101
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 3 = 81
Therefore, the value for common factors is 81.
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 = 404271805140/(1x81)
LCM = 404271805140/81
LCM = 4991009940
Thus, we can understand that the LCM of 612,769,945,909 is 4991009940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 612, 769, 945, 909
1. What is the LCM of 612, 769, 945, 909?
Answer: LCM of 612, 769, 945, 909 is 4991009940.
2. How to calculate the LCM of 612, 769, 945, 909?
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 612, 769, 945, 909.
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}.