Find the LCM of 223, 380, 345, 945, 695 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 223, 380, 345, 945, 695. So, keep reading to learn more.
Given numbers are 223,380,345,945,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,380,345,945,695 is 51202704420.
Find LCM of 223,380,345,945,695 with Prime Factorization
3 | 223, 380, 345, 945, 695 |
5 | 223, 380, 115, 315, 695 |
223, 76, 23, 63, 139 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 223 x 76 x 23 x 63 x 139 = 51202704420
Therefore, the lowest common multiple of 223,380,345,945,695 is 51202704420.
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.
223 x 380 x 345 x 945 x 695 = 19201014157500
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.
223 : 1, 223
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
345 : 1, 3, 5, 15, 23, 69, 115, 345
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,380,345,945,695, is 1.
Now, the common factors can be found like this.
223:223
380:2x 2x 5x 19
345:3x 5x 23
945:3x 3x 3x 5x 7
695:5x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 5 = 375
Therefore, the value for common factors is 375.
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 = 19201014157500/(1x375)
LCM = 19201014157500/375
LCM = 51202704420
Thus, we can understand that the LCM of 223,380,345,945,695 is 51202704420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 223, 380, 345, 945, 695?
Answer: LCM of 223, 380, 345, 945, 695 is 51202704420.
2. How to calculate the LCM of 223, 380, 345, 945, 695?
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 223, 380, 345, 945, 695.
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}.