Find the LCM of 921, 851, 345, 851 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 921, 851, 345, 851. So, keep reading to learn more.
Given numbers are 921,851,345,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,851,345,851 is 3918855.
Find LCM of 921,851,345,851 with Prime Factorization
3 | 921, 851, 345, 851 |
23 | 307, 851, 115, 851 |
37 | 307, 37, 5, 37 |
307, 1, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 37 x 307 x 1 x 5 x 1 = 3918855
Therefore, the lowest common multiple of 921,851,345,851 is 3918855.
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.
921 x 851 x 345 x 851 = 230111246745
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.
921 : 1, 3, 307, 921
851 : 1, 23, 37, 851
345 : 1, 3, 5, 15, 23, 69, 115, 345
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,851,345,851, is 1.
Now, the common factors can be found like this.
921:3x 307
851:23x 37
345:3x 5x 23
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 23x 37 = 58719
Therefore, the value for common factors is 58719.
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 = 230111246745/(1x58719)
LCM = 230111246745/58719
LCM = 3918855
Thus, we can understand that the LCM of 921,851,345,851 is 3918855.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 921, 851, 345, 851?
Answer: LCM of 921, 851, 345, 851 is 3918855.
2. How to calculate the LCM of 921, 851, 345, 851?
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 921, 851, 345, 851.
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}.