Find the LCM of 584, 899, 657, 769 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 584, 899, 657, 769. So, keep reading to learn more.
Given numbers are 584,899,657,769
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 584,899,657,769 is 3633635736.
Find LCM of 584,899,657,769 with Prime Factorization
73 | 584, 899, 657, 769 |
8, 899, 9, 769 |
Multiply the prime numbers at the bottom and the left side.
73 x 8 x 899 x 9 x 769 = 3633635736
Therefore, the lowest common multiple of 584,899,657,769 is 3633635736.
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.
584 x 899 x 657 x 769 = 265255408728
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.
584 : 1, 2, 4, 8, 73, 146, 292, 584
899 : 1, 29, 31, 899
657 : 1, 3, 9, 73, 219, 657
769 : 1, 769
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,899,657,769, is 1.
Now, the common factors can be found like this.
584:2x 2x 2x 73
899:29x 31
657:3x 3x 73
769:769
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
73 = 73
Therefore, the value for common factors is 73.
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 = 265255408728/(1x73)
LCM = 265255408728/73
LCM = 3633635736
Thus, we can understand that the LCM of 584,899,657,769 is 3633635736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 584, 899, 657, 769?
Answer: LCM of 584, 899, 657, 769 is 3633635736.
2. How to calculate the LCM of 584, 899, 657, 769?
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 584, 899, 657, 769.
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}.