Find the LCM of 681, 722, 822, 924, 941 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 681, 722, 822, 924, 941. So, keep reading to learn more.
Given numbers are 681,722,822,924,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 681,722,822,924,941 is 9761469932676.
Find LCM of 681,722,822,924,941 with Prime Factorization
2 | 681, 722, 822, 924, 941 |
3 | 681, 361, 411, 462, 941 |
227, 361, 137, 154, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 361 x 137 x 154 x 941 = 9761469932676
Therefore, the lowest common multiple of 681,722,822,924,941 is 9761469932676.
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.
681 x 722 x 822 x 924 x 941 = 351412917576336
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.
681 : 1, 3, 227, 681
722 : 1, 2, 19, 38, 361, 722
822 : 1, 2, 3, 6, 137, 274, 411, 822
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,722,822,924,941, is 1.
Now, the common factors can be found like this.
681:3x 227
722:2x 19x 19
822:2x 3x 137
924:2x 2x 3x 7x 11
941:941
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 3 = 36
Therefore, the value for common factors is 36.
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 = 351412917576336/(1x36)
LCM = 351412917576336/36
LCM = 9761469932676
Thus, we can understand that the LCM of 681,722,822,924,941 is 9761469932676.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 681, 722, 822, 924, 941?
Answer: LCM of 681, 722, 822, 924, 941 is 9761469932676.
2. How to calculate the LCM of 681, 722, 822, 924, 941?
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 681, 722, 822, 924, 941.
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}.