Find the LCM of 882, 948, 407, 711, 726 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 882, 948, 407, 711, 726. So, keep reading to learn more.
Given numbers are 882,948,407,711,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,948,407,711,726 is 623896812.
Find LCM of 882,948,407,711,726 with Prime Factorization
2 | 882, 948, 407, 711, 726 |
3 | 441, 474, 407, 711, 363 |
3 | 147, 158, 407, 237, 121 |
11 | 49, 158, 407, 79, 121 |
79 | 49, 158, 37, 79, 11 |
49, 2, 37, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 79 x 49 x 2 x 37 x 1 x 11 = 623896812
Therefore, the lowest common multiple of 882,948,407,711,726 is 623896812.
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.
882 x 948 x 407 x 711 x 726 = 175661890799472
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
407 : 1, 11, 37, 407
711 : 1, 3, 9, 79, 237, 711
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,948,407,711,726, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
948:2x 2x 3x 79
407:11x 37
711:3x 3x 79
726:2x 3x 11x 11
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 11x 79 = 281556
Therefore, the value for common factors is 281556.
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 = 175661890799472/(1x281556)
LCM = 175661890799472/281556
LCM = 623896812
Thus, we can understand that the LCM of 882,948,407,711,726 is 623896812.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 882, 948, 407, 711, 726?
Answer: LCM of 882, 948, 407, 711, 726 is 623896812.
2. How to calculate the LCM of 882, 948, 407, 711, 726?
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 882, 948, 407, 711, 726.
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}.