Find the LCM of 397, 245, 923, 735 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 397, 245, 923, 735. So, keep reading to learn more.
Given numbers are 397,245,923,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,245,923,735 is 269326785.
Find LCM of 397,245,923,735 with Prime Factorization
5 | 397, 245, 923, 735 |
7 | 397, 49, 923, 147 |
7 | 397, 7, 923, 21 |
397, 1, 923, 3 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 7 x 397 x 1 x 923 x 3 = 269326785
Therefore, the lowest common multiple of 397,245,923,735 is 269326785.
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.
397 x 245 x 923 x 735 = 65985062325
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.
397 : 1, 397
245 : 1, 5, 7, 35, 49, 245
923 : 1, 13, 71, 923
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,245,923,735, is 1.
Now, the common factors can be found like this.
397:397
245:5x 7x 7
923:13x 71
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 7 = 245
Therefore, the value for common factors is 245.
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 = 65985062325/(1x245)
LCM = 65985062325/245
LCM = 269326785
Thus, we can understand that the LCM of 397,245,923,735 is 269326785.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 245, 923, 735?
Answer: LCM of 397, 245, 923, 735 is 269326785.
2. How to calculate the LCM of 397, 245, 923, 735?
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 397, 245, 923, 735.
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}.