Find the LCM of 295, 269, 169, 312 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 295, 269, 169, 312. So, keep reading to learn more.
Given numbers are 295,269,169,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,269,169,312 is 321863880.
Find LCM of 295,269,169,312 with Prime Factorization
13 | 295, 269, 169, 312 |
295, 269, 13, 24 |
Multiply the prime numbers at the bottom and the left side.
13 x 295 x 269 x 13 x 24 = 321863880
Therefore, the lowest common multiple of 295,269,169,312 is 321863880.
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.
295 x 269 x 169 x 312 = 4184230440
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.
295 : 1, 5, 59, 295
269 : 1, 269
169 : 1, 13, 169
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,269,169,312, is 1.
Now, the common factors can be found like this.
295:5x 59
269:269
169:13x 13
312:2x 2x 2x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 4184230440/(1x13)
LCM = 4184230440/13
LCM = 321863880
Thus, we can understand that the LCM of 295,269,169,312 is 321863880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 269, 169, 312?
Answer: LCM of 295, 269, 169, 312 is 321863880.
2. How to calculate the LCM of 295, 269, 169, 312?
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 295, 269, 169, 312.
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}.