Find the LCM of 788, 429, 698, 569, 545 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 788, 429, 698, 569, 545. So, keep reading to learn more.
Given numbers are 788,429,698,569,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 788,429,698,569,545 is 36586233795540.
Find LCM of 788,429,698,569,545 with Prime Factorization
2 | 788, 429, 698, 569, 545 |
394, 429, 349, 569, 545 |
Multiply the prime numbers at the bottom and the left side.
2 x 394 x 429 x 349 x 569 x 545 = 36586233795540
Therefore, the lowest common multiple of 788,429,698,569,545 is 36586233795540.
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.
788 x 429 x 698 x 569 x 545 = 73172467591080
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.
788 : 1, 2, 4, 197, 394, 788
429 : 1, 3, 11, 13, 33, 39, 143, 429
698 : 1, 2, 349, 698
569 : 1, 569
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,429,698,569,545, is 1.
Now, the common factors can be found like this.
788:2x 2x 197
429:3x 11x 13
698:2x 349
569:569
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 73172467591080/(1x2)
LCM = 73172467591080/2
LCM = 36586233795540
Thus, we can understand that the LCM of 788,429,698,569,545 is 36586233795540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 788, 429, 698, 569, 545?
Answer: LCM of 788, 429, 698, 569, 545 is 36586233795540.
2. How to calculate the LCM of 788, 429, 698, 569, 545?
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 788, 429, 698, 569, 545.
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}.