Find the LCM of 574, 672, 626, 735, 827 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 574, 672, 626, 735, 827. So, keep reading to learn more.
Given numbers are 574,672,626,735,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,672,626,735,827 is 249615196320.
Find LCM of 574,672,626,735,827 with Prime Factorization
2 | 574, 672, 626, 735, 827 |
3 | 287, 336, 313, 735, 827 |
7 | 287, 112, 313, 245, 827 |
41, 16, 313, 35, 827 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 41 x 16 x 313 x 35 x 827 = 249615196320
Therefore, the lowest common multiple of 574,672,626,735,827 is 249615196320.
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.
574 x 672 x 626 x 735 x 827 = 146773735436160
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
626 : 1, 2, 313, 626
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,672,626,735,827, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
672:2x 2x 2x 2x 2x 3x 7
626:2x 313
735:3x 5x 7x 7
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 146773735436160/(1x588)
LCM = 146773735436160/588
LCM = 249615196320
Thus, we can understand that the LCM of 574,672,626,735,827 is 249615196320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 574, 672, 626, 735, 827?
Answer: LCM of 574, 672, 626, 735, 827 is 249615196320.
2. How to calculate the LCM of 574, 672, 626, 735, 827?
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 574, 672, 626, 735, 827.
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}.