Find the LCM of 931, 672, 665, 993, 723 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 931, 672, 665, 993, 723. So, keep reading to learn more.
Given numbers are 931,672,665,993,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 931,672,665,993,723 is 35648064480.
Find LCM of 931,672,665,993,723 with Prime Factorization
3 | 931, 672, 665, 993, 723 |
7 | 931, 224, 665, 331, 241 |
19 | 133, 32, 95, 331, 241 |
7, 32, 5, 331, 241 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 19 x 7 x 32 x 5 x 331 x 241 = 35648064480
Therefore, the lowest common multiple of 931,672,665,993,723 is 35648064480.
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.
931 x 672 x 665 x 993 x 723 = 298695132277920
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.
931 : 1, 7, 19, 49, 133, 931
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
665 : 1, 5, 7, 19, 35, 95, 133, 665
993 : 1, 3, 331, 993
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 931,672,665,993,723, is 1.
Now, the common factors can be found like this.
931:7x 7x 19
672:2x 2x 2x 2x 2x 3x 7
665:5x 7x 19
993:3x 331
723:3x 241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 7x 19 = 8379
Therefore, the value for common factors is 8379.
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 = 298695132277920/(1x8379)
LCM = 298695132277920/8379
LCM = 35648064480
Thus, we can understand that the LCM of 931,672,665,993,723 is 35648064480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 931, 672, 665, 993, 723?
Answer: LCM of 931, 672, 665, 993, 723 is 35648064480.
2. How to calculate the LCM of 931, 672, 665, 993, 723?
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 931, 672, 665, 993, 723.
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}.