Find the LCM of 169, 203, 476, 315, 977 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, 203, 476, 315, 977. So, keep reading to learn more.
Given numbers are 169,203,476,315,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,203,476,315,977 is 102564893340.
Find LCM of 169,203,476,315,977 with Prime Factorization
7 | 169, 203, 476, 315, 977 |
169, 29, 68, 45, 977 |
Multiply the prime numbers at the bottom and the left side.
7 x 169 x 29 x 68 x 45 x 977 = 102564893340
Therefore, the lowest common multiple of 169,203,476,315,977 is 102564893340.
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 203 x 476 x 315 x 977 = 5025679773660
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
203 : 1, 7, 29, 203
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,203,476,315,977, is 1.
Now, the common factors can be found like this.
169:13x 13
203:7x 29
476:2x 2x 7x 17
315:3x 3x 5x 7
977:977
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7 = 49
Therefore, the value for common factors is 49.
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 = 5025679773660/(1x49)
LCM = 5025679773660/49
LCM = 102564893340
Thus, we can understand that the LCM of 169,203,476,315,977 is 102564893340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 169, 203, 476, 315, 977?
Answer: LCM of 169, 203, 476, 315, 977 is 102564893340.
2. How to calculate the LCM of 169, 203, 476, 315, 977?
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, 203, 476, 315, 977.
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}.