Find the LCM of 295, 299, 157, 314 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, 299, 157, 314. So, keep reading to learn more.
Given numbers are 295,299,157,314
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 295,299,157,314 is 27696370.
Find LCM of 295,299,157,314 with Prime Factorization
157 | 295, 299, 157, 314 |
295, 299, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
157 x 295 x 299 x 1 x 2 = 27696370
Therefore, the lowest common multiple of 295,299,157,314 is 27696370.
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 299 x 157 x 314 = 4348330090
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
299 : 1, 13, 23, 299
157 : 1, 157
314 : 1, 2, 157, 314
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 295,299,157,314, is 1.
Now, the common factors can be found like this.
295:5x 59
299:13x 23
157:157
314:2x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
157 = 157
Therefore, the value for common factors is 157.
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 = 4348330090/(1x157)
LCM = 4348330090/157
LCM = 27696370
Thus, we can understand that the LCM of 295,299,157,314 is 27696370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 295, 299, 157, 314?
Answer: LCM of 295, 299, 157, 314 is 27696370.
2. How to calculate the LCM of 295, 299, 157, 314?
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, 299, 157, 314.
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}.