Find the LCM of 681, 675, 617, 575, 829 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 681, 675, 617, 575, 829. So, keep reading to learn more.
Given numbers are 681,675,617,575,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,675,617,575,829 is 1802590843275.
Find LCM of 681,675,617,575,829 with Prime Factorization
3 | 681, 675, 617, 575, 829 |
5 | 227, 225, 617, 575, 829 |
5 | 227, 45, 617, 115, 829 |
227, 9, 617, 23, 829 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 227 x 9 x 617 x 23 x 829 = 1802590843275
Therefore, the lowest common multiple of 681,675,617,575,829 is 1802590843275.
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.
681 x 675 x 617 x 575 x 829 = 135194313245625
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.
681 : 1, 3, 227, 681
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
617 : 1, 617
575 : 1, 5, 23, 25, 115, 575
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,675,617,575,829, is 1.
Now, the common factors can be found like this.
681:3x 227
675:3x 3x 3x 5x 5
617:617
575:5x 5x 23
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5 = 75
Therefore, the value for common factors is 75.
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 = 135194313245625/(1x75)
LCM = 135194313245625/75
LCM = 1802590843275
Thus, we can understand that the LCM of 681,675,617,575,829 is 1802590843275.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 675, 617, 575, 829?
Answer: LCM of 681, 675, 617, 575, 829 is 1802590843275.
2. How to calculate the LCM of 681, 675, 617, 575, 829?
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 681, 675, 617, 575, 829.
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}.