Find the LCM of 359, 735, 175, 803, 396 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 359, 735, 175, 803, 396. So, keep reading to learn more.
Given numbers are 359,735,175,803,396
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,735,175,803,396 is 12713015700.
Find LCM of 359,735,175,803,396 with Prime Factorization
3 | 359, 735, 175, 803, 396 |
5 | 359, 245, 175, 803, 132 |
7 | 359, 49, 35, 803, 132 |
11 | 359, 7, 5, 803, 132 |
359, 7, 5, 73, 12 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 11 x 359 x 7 x 5 x 73 x 12 = 12713015700
Therefore, the lowest common multiple of 359,735,175,803,396 is 12713015700.
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.
359 x 735 x 175 x 803 x 396 = 14683533133500
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.
359 : 1, 359
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
175 : 1, 5, 7, 25, 35, 175
803 : 1, 11, 73, 803
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,735,175,803,396, is 1.
Now, the common factors can be found like this.
359:359
735:3x 5x 7x 7
175:5x 5x 7
803:11x 73
396:2x 2x 3x 3x 11
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 7x 11 = 1155
Therefore, the value for common factors is 1155.
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 = 14683533133500/(1x1155)
LCM = 14683533133500/1155
LCM = 12713015700
Thus, we can understand that the LCM of 359,735,175,803,396 is 12713015700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 359, 735, 175, 803, 396?
Answer: LCM of 359, 735, 175, 803, 396 is 12713015700.
2. How to calculate the LCM of 359, 735, 175, 803, 396?
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 359, 735, 175, 803, 396.
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}.