Find the LCM of 988, 436, 327, 250 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 988, 436, 327, 250. So, keep reading to learn more.
Given numbers are 988,436,327,250
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,436,327,250 is 40384500.
Find LCM of 988,436,327,250 with Prime Factorization
2 | 988, 436, 327, 250 |
2 | 494, 218, 327, 125 |
109 | 247, 109, 327, 125 |
247, 1, 3, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 109 x 247 x 1 x 3 x 125 = 40384500
Therefore, the lowest common multiple of 988,436,327,250 is 40384500.
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.
988 x 436 x 327 x 250 = 35215284000
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
436 : 1, 2, 4, 109, 218, 436
327 : 1, 3, 109, 327
250 : 1, 2, 5, 10, 25, 50, 125, 250
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,436,327,250, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
436:2x 2x 109
327:3x 109
250:2x 5x 5x 5
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 109 = 872
Therefore, the value for common factors is 872.
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 = 35215284000/(1x872)
LCM = 35215284000/872
LCM = 40384500
Thus, we can understand that the LCM of 988,436,327,250 is 40384500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 988, 436, 327, 250?
Answer: LCM of 988, 436, 327, 250 is 40384500.
2. How to calculate the LCM of 988, 436, 327, 250?
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 988, 436, 327, 250.
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}.