Find the LCM of 769, 254, 889, 225, 877 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 769, 254, 889, 225, 877. So, keep reading to learn more.
Given numbers are 769,254,889,225,877
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 769,254,889,225,877 is 269798920650.
Find LCM of 769,254,889,225,877 with Prime Factorization
127 | 769, 254, 889, 225, 877 |
769, 2, 7, 225, 877 |
Multiply the prime numbers at the bottom and the left side.
127 x 769 x 2 x 7 x 225 x 877 = 269798920650
Therefore, the lowest common multiple of 769,254,889,225,877 is 269798920650.
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.
769 x 254 x 889 x 225 x 877 = 34264462922550
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.
769 : 1, 769
254 : 1, 2, 127, 254
889 : 1, 7, 127, 889
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
877 : 1, 877
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,254,889,225,877, is 1.
Now, the common factors can be found like this.
769:769
254:2x 127
889:7x 127
225:3x 3x 5x 5
877:877
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
127 = 127
Therefore, the value for common factors is 127.
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 = 34264462922550/(1x127)
LCM = 34264462922550/127
LCM = 269798920650
Thus, we can understand that the LCM of 769,254,889,225,877 is 269798920650.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 769, 254, 889, 225, 877?
Answer: LCM of 769, 254, 889, 225, 877 is 269798920650.
2. How to calculate the LCM of 769, 254, 889, 225, 877?
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 769, 254, 889, 225, 877.
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}.