Find the LCM of 169, 119, 507, 775 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 169, 119, 507, 775. So, keep reading to learn more.
Given numbers are 169,119,507,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,119,507,775 is 46758075.
Find LCM of 169,119,507,775 with Prime Factorization
13 | 169, 119, 507, 775 |
13 | 13, 119, 39, 775 |
1, 119, 3, 775 |
Multiply the prime numbers at the bottom and the left side.
13 x 13 x 1 x 119 x 3 x 775 = 46758075
Therefore, the lowest common multiple of 169,119,507,775 is 46758075.
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.
169 x 119 x 507 x 775 = 7902114675
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.
169 : 1, 13, 169
119 : 1, 7, 17, 119
507 : 1, 3, 13, 39, 169, 507
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,119,507,775, is 1.
Now, the common factors can be found like this.
169:13x 13
119:7x 17
507:3x 13x 13
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 7902114675/(1x169)
LCM = 7902114675/169
LCM = 46758075
Thus, we can understand that the LCM of 169,119,507,775 is 46758075.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 119, 507, 775?
Answer: LCM of 169, 119, 507, 775 is 46758075.
2. How to calculate the LCM of 169, 119, 507, 775?
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 169, 119, 507, 775.
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}.