Find the LCM of 567, 765, 340, 485, 818 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 567, 765, 340, 485, 818. So, keep reading to learn more.
Given numbers are 567,765,340,485,818
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,765,340,485,818 is 7648160940.
Find LCM of 567,765,340,485,818 with Prime Factorization
2 | 567, 765, 340, 485, 818 |
3 | 567, 765, 170, 485, 409 |
3 | 189, 255, 170, 485, 409 |
5 | 63, 85, 170, 485, 409 |
17 | 63, 17, 34, 97, 409 |
63, 1, 2, 97, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 17 x 63 x 1 x 2 x 97 x 409 = 7648160940
Therefore, the lowest common multiple of 567,765,340,485,818 is 7648160940.
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.
567 x 765 x 340 x 485 x 818 = 58508431191000
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
485 : 1, 5, 97, 485
818 : 1, 2, 409, 818
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,765,340,485,818, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
765:3x 3x 5x 17
340:2x 2x 5x 17
485:5x 97
818:2x 409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 17 = 7650
Therefore, the value for common factors is 7650.
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 = 58508431191000/(1x7650)
LCM = 58508431191000/7650
LCM = 7648160940
Thus, we can understand that the LCM of 567,765,340,485,818 is 7648160940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 765, 340, 485, 818?
Answer: LCM of 567, 765, 340, 485, 818 is 7648160940.
2. How to calculate the LCM of 567, 765, 340, 485, 818?
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 567, 765, 340, 485, 818.
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}.