Find the LCM of 869, 350, 523, 189, 245 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 869, 350, 523, 189, 245. So, keep reading to learn more.
Given numbers are 869,350,523,189,245
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,350,523,189,245 is 30064315050.
Find LCM of 869,350,523,189,245 with Prime Factorization
5 | 869, 350, 523, 189, 245 |
7 | 869, 70, 523, 189, 49 |
869, 10, 523, 27, 7 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 869 x 10 x 523 x 27 x 7 = 30064315050
Therefore, the lowest common multiple of 869,350,523,189,245 is 30064315050.
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.
869 x 350 x 523 x 189 x 245 = 7365757187250
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.
869 : 1, 11, 79, 869
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
523 : 1, 523
189 : 1, 3, 7, 9, 21, 27, 63, 189
245 : 1, 5, 7, 35, 49, 245
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,350,523,189,245, is 1.
Now, the common factors can be found like this.
869:11x 79
350:2x 5x 5x 7
523:523
189:3x 3x 3x 7
245:5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 7365757187250/(1x245)
LCM = 7365757187250/245
LCM = 30064315050
Thus, we can understand that the LCM of 869,350,523,189,245 is 30064315050.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 869, 350, 523, 189, 245?
Answer: LCM of 869, 350, 523, 189, 245 is 30064315050.
2. How to calculate the LCM of 869, 350, 523, 189, 245?
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 869, 350, 523, 189, 245.
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}.