Find the LCM of 552, 769, 690, 777 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 552, 769, 690, 777. So, keep reading to learn more.
Given numbers are 552,769,690,777
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 552,769,690,777 is 549711960.
Find LCM of 552,769,690,777 with Prime Factorization
2 | 552, 769, 690, 777 |
3 | 276, 769, 345, 777 |
23 | 92, 769, 115, 259 |
4, 769, 5, 259 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 4 x 769 x 5 x 259 = 549711960
Therefore, the lowest common multiple of 552,769,690,777 is 549711960.
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.
552 x 769 x 690 x 777 = 227580751440
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.
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
769 : 1, 769
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
777 : 1, 3, 7, 21, 37, 111, 259, 777
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 552,769,690,777, is 1.
Now, the common factors can be found like this.
552:2x 2x 2x 3x 23
769:769
690:2x 3x 5x 23
777:3x 7x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 227580751440/(1x414)
LCM = 227580751440/414
LCM = 549711960
Thus, we can understand that the LCM of 552,769,690,777 is 549711960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 552, 769, 690, 777?
Answer: LCM of 552, 769, 690, 777 is 549711960.
2. How to calculate the LCM of 552, 769, 690, 777?
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 552, 769, 690, 777.
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}.