Find the LCM of 858, 927, 616, 443, 551 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 858, 927, 616, 443, 551. So, keep reading to learn more.
Given numbers are 858,927,616,443,551
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,927,616,443,551 is 1812003881688.
Find LCM of 858,927,616,443,551 with Prime Factorization
2 | 858, 927, 616, 443, 551 |
3 | 429, 927, 308, 443, 551 |
11 | 143, 309, 308, 443, 551 |
13, 309, 28, 443, 551 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 309 x 28 x 443 x 551 = 1812003881688
Therefore, the lowest common multiple of 858,927,616,443,551 is 1812003881688.
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.
858 x 927 x 616 x 443 x 551 = 119592256191408
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
927 : 1, 3, 9, 103, 309, 927
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
443 : 1, 443
551 : 1, 19, 29, 551
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,927,616,443,551, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
927:3x 3x 103
616:2x 2x 2x 7x 11
443:443
551:19x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 119592256191408/(1x66)
LCM = 119592256191408/66
LCM = 1812003881688
Thus, we can understand that the LCM of 858,927,616,443,551 is 1812003881688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 858, 927, 616, 443, 551?
Answer: LCM of 858, 927, 616, 443, 551 is 1812003881688.
2. How to calculate the LCM of 858, 927, 616, 443, 551?
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 858, 927, 616, 443, 551.
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}.