Find the LCM of 363, 393, 359, 767, 112 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 363, 393, 359, 767, 112. So, keep reading to learn more.
Given numbers are 363,393,359,767,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,393,359,767,112 is 1466512455408.
Find LCM of 363,393,359,767,112 with Prime Factorization
3 | 363, 393, 359, 767, 112 |
121, 131, 359, 767, 112 |
Multiply the prime numbers at the bottom and the left side.
3 x 121 x 131 x 359 x 767 x 112 = 1466512455408
Therefore, the lowest common multiple of 363,393,359,767,112 is 1466512455408.
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.
363 x 393 x 359 x 767 x 112 = 4399537366224
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.
363 : 1, 3, 11, 33, 121, 363
393 : 1, 3, 131, 393
359 : 1, 359
767 : 1, 13, 59, 767
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,393,359,767,112, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
393:3x 131
359:359
767:13x 59
112:2x 2x 2x 2x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 4399537366224/(1x3)
LCM = 4399537366224/3
LCM = 1466512455408
Thus, we can understand that the LCM of 363,393,359,767,112 is 1466512455408.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 363, 393, 359, 767, 112?
Answer: LCM of 363, 393, 359, 767, 112 is 1466512455408.
2. How to calculate the LCM of 363, 393, 359, 767, 112?
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 363, 393, 359, 767, 112.
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}.