Find the LCM of 676, 189, 135, 858, 410 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 676, 189, 135, 858, 410. So, keep reading to learn more.
Given numbers are 676,189,135,858,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,189,135,858,410 is 288107820.
Find LCM of 676,189,135,858,410 with Prime Factorization
2 | 676, 189, 135, 858, 410 |
3 | 338, 189, 135, 429, 205 |
3 | 338, 63, 45, 143, 205 |
3 | 338, 21, 15, 143, 205 |
5 | 338, 7, 5, 143, 205 |
13 | 338, 7, 1, 143, 41 |
26, 7, 1, 11, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 13 x 26 x 7 x 1 x 11 x 41 = 288107820
Therefore, the lowest common multiple of 676,189,135,858,410 is 288107820.
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.
676 x 189 x 135 x 858 x 410 = 6067550689200
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
189 : 1, 3, 7, 9, 21, 27, 63, 189
135 : 1, 3, 5, 9, 15, 27, 45, 135
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,189,135,858,410, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
189:3x 3x 3x 7
135:3x 3x 3x 5
858:2x 3x 11x 13
410:2x 5x 41
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 3x 3x 3x 5x 13 = 21060
Therefore, the value for common factors is 21060.
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 = 6067550689200/(1x21060)
LCM = 6067550689200/21060
LCM = 288107820
Thus, we can understand that the LCM of 676,189,135,858,410 is 288107820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 189, 135, 858, 410?
Answer: LCM of 676, 189, 135, 858, 410 is 288107820.
2. How to calculate the LCM of 676, 189, 135, 858, 410?
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 676, 189, 135, 858, 410.
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}.