LCM of 309, 367, 375, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 367, 375, 565 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 309, 367, 375, 565. So, keep reading to learn more.
Given numbers are 309,367,375,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,367,375,565 is 1601817375.
Find LCM of 309,367,375,565 with Prime Factorization
| 3 | 309, 367, 375, 565 |
| 5 | 103, 367, 125, 565 |
| 103, 367, 25, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 103 x 367 x 25 x 113 = 1601817375
Therefore, the lowest common multiple of 309,367,375,565 is 1601817375.
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.
309 x 367 x 375 x 565 = 24027260625
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.
309 : 1, 3, 103, 309
367 : 1, 367
375 : 1, 3, 5, 15, 25, 75, 125, 375
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,367,375,565, is 1.
Now, the common factors can be found like this.
309:3x 103
367:367
375:3x 5x 5x 5
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5 = 15
Therefore, the value for common factors is 15.
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 = 24027260625/(1x15)
LCM = 24027260625/15
LCM = 1601817375
Thus, we can understand that the LCM of 309,367,375,565 is 1601817375.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 309, 367, 375, 565
1. What is the LCM of 309, 367, 375, 565?
Answer: LCM of 309, 367, 375, 565 is 1601817375.
2. How to calculate the LCM of 309, 367, 375, 565?
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 309, 367, 375, 565.
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}.