Find the LCM of 303, 718, 172, 572, 132 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 303, 718, 172, 572, 132. So, keep reading to learn more.
Given numbers are 303,718,172,572,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,718,172,572,132 is 2675479092.
Find LCM of 303,718,172,572,132 with Prime Factorization
2 | 303, 718, 172, 572, 132 |
2 | 303, 359, 86, 286, 66 |
3 | 303, 359, 43, 143, 33 |
11 | 101, 359, 43, 143, 11 |
101, 359, 43, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 101 x 359 x 43 x 13 x 1 = 2675479092
Therefore, the lowest common multiple of 303,718,172,572,132 is 2675479092.
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.
303 x 718 x 172 x 572 x 132 = 2825305921152
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.
303 : 1, 3, 101, 303
718 : 1, 2, 359, 718
172 : 1, 2, 4, 43, 86, 172
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,718,172,572,132, is 1.
Now, the common factors can be found like this.
303:3x 101
718:2x 359
172:2x 2x 43
572:2x 2x 11x 13
132:2x 2x 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.
2x 2x 2x 2x 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 2825305921152/(1x1056)
LCM = 2825305921152/1056
LCM = 2675479092
Thus, we can understand that the LCM of 303,718,172,572,132 is 2675479092.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 303, 718, 172, 572, 132?
Answer: LCM of 303, 718, 172, 572, 132 is 2675479092.
2. How to calculate the LCM of 303, 718, 172, 572, 132?
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 303, 718, 172, 572, 132.
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}.