Find the LCM of 403, 362, 750, 273, 131 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 403, 362, 750, 273, 131. So, keep reading to learn more.
Given numbers are 403,362,750,273,131
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 403,362,750,273,131 is 50166548250.
Find LCM of 403,362,750,273,131 with Prime Factorization
2 | 403, 362, 750, 273, 131 |
3 | 403, 181, 375, 273, 131 |
13 | 403, 181, 125, 91, 131 |
31, 181, 125, 7, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 31 x 181 x 125 x 7 x 131 = 50166548250
Therefore, the lowest common multiple of 403,362,750,273,131 is 50166548250.
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.
403 x 362 x 750 x 273 x 131 = 3912990763500
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.
403 : 1, 13, 31, 403
362 : 1, 2, 181, 362
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
273 : 1, 3, 7, 13, 21, 39, 91, 273
131 : 1, 131
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,362,750,273,131, is 1.
Now, the common factors can be found like this.
403:13x 31
362:2x 181
750:2x 3x 5x 5x 5
273:3x 7x 13
131:131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 3912990763500/(1x78)
LCM = 3912990763500/78
LCM = 50166548250
Thus, we can understand that the LCM of 403,362,750,273,131 is 50166548250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 403, 362, 750, 273, 131?
Answer: LCM of 403, 362, 750, 273, 131 is 50166548250.
2. How to calculate the LCM of 403, 362, 750, 273, 131?
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 403, 362, 750, 273, 131.
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}.