Find the LCM of 565, 478, 567, 478 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 565, 478, 567, 478. So, keep reading to learn more.
Given numbers are 565,478,567,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 565,478,567,478 is 153129690.
Find LCM of 565,478,567,478 with Prime Factorization
2 | 565, 478, 567, 478 |
239 | 565, 239, 567, 239 |
565, 1, 567, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 239 x 565 x 1 x 567 x 1 = 153129690
Therefore, the lowest common multiple of 565,478,567,478 is 153129690.
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.
565 x 478 x 567 x 478 = 73195991820
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.
565 : 1, 5, 113, 565
478 : 1, 2, 239, 478
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,478,567,478, is 1.
Now, the common factors can be found like this.
565:5x 113
478:2x 239
567:3x 3x 3x 3x 7
478:2x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 239 = 478
Therefore, the value for common factors is 478.
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 = 73195991820/(1x478)
LCM = 73195991820/478
LCM = 153129690
Thus, we can understand that the LCM of 565,478,567,478 is 153129690.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 565, 478, 567, 478?
Answer: LCM of 565, 478, 567, 478 is 153129690.
2. How to calculate the LCM of 565, 478, 567, 478?
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 565, 478, 567, 478.
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}.