Find the LCM of 561, 844, 769, 146 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 561, 844, 769, 146. So, keep reading to learn more.
Given numbers are 561,844,769,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,844,769,146 is 26579971308.
Find LCM of 561,844,769,146 with Prime Factorization
2 | 561, 844, 769, 146 |
561, 422, 769, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 561 x 422 x 769 x 73 = 26579971308
Therefore, the lowest common multiple of 561,844,769,146 is 26579971308.
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.
561 x 844 x 769 x 146 = 53159942616
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
844 : 1, 2, 4, 211, 422, 844
769 : 1, 769
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,844,769,146, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
844:2x 2x 211
769:769
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 53159942616/(1x2)
LCM = 53159942616/2
LCM = 26579971308
Thus, we can understand that the LCM of 561,844,769,146 is 26579971308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 844, 769, 146?
Answer: LCM of 561, 844, 769, 146 is 26579971308.
2. How to calculate the LCM of 561, 844, 769, 146?
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 561, 844, 769, 146.
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}.