Find the LCM of 705, 443, 445, 858, 565 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 705, 443, 445, 858, 565. So, keep reading to learn more.
Given numbers are 705,443,445,858,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,443,445,858,565 is 898312259130.
Find LCM of 705,443,445,858,565 with Prime Factorization
3 | 705, 443, 445, 858, 565 |
5 | 235, 443, 445, 286, 565 |
47, 443, 89, 286, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 47 x 443 x 89 x 286 x 113 = 898312259130
Therefore, the lowest common multiple of 705,443,445,858,565 is 898312259130.
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.
705 x 443 x 445 x 858 x 565 = 67373419434750
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
443 : 1, 443
445 : 1, 5, 89, 445
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,443,445,858,565, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
443:443
445:5x 89
858:2x 3x 11x 13
565:5x 113
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 = 67373419434750/(1x75)
LCM = 67373419434750/75
LCM = 898312259130
Thus, we can understand that the LCM of 705,443,445,858,565 is 898312259130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 443, 445, 858, 565?
Answer: LCM of 705, 443, 445, 858, 565 is 898312259130.
2. How to calculate the LCM of 705, 443, 445, 858, 565?
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 705, 443, 445, 858, 565.
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}.