Find the LCM of 397, 540, 537, 291, 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, 540, 537, 291, 735. So, keep reading to learn more.
Given numbers are 397,540,537,291,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,540,537,291,735 is 182391717060.
Find LCM of 397,540,537,291,735 with Prime Factorization
3 | 397, 540, 537, 291, 735 |
5 | 397, 180, 179, 97, 245 |
397, 36, 179, 97, 49 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 397 x 36 x 179 x 97 x 49 = 182391717060
Therefore, the lowest common multiple of 397,540,537,291,735 is 182391717060.
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 540 x 537 x 291 x 735 = 24622881803100
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
537 : 1, 3, 179, 537
291 : 1, 3, 97, 291
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 397,540,537,291,735, is 1.
Now, the common factors can be found like this.
397:397
540:2x 2x 3x 3x 3x 5
537:3x 179
291:3x 97
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.
3x 3x 3x 5 = 135
Therefore, the value for common factors is 135.
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 = 24622881803100/(1x135)
LCM = 24622881803100/135
LCM = 182391717060
Thus, we can understand that the LCM of 397,540,537,291,735 is 182391717060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 540, 537, 291, 735?
Answer: LCM of 397, 540, 537, 291, 735 is 182391717060.
2. How to calculate the LCM of 397, 540, 537, 291, 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, 540, 537, 291, 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}.