Find the LCM of 401, 282, 134, 250, 938 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 401, 282, 134, 250, 938. So, keep reading to learn more.
Given numbers are 401,282,134,250,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 401,282,134,250,938 is 6629432250.
Find LCM of 401,282,134,250,938 with Prime Factorization
2 | 401, 282, 134, 250, 938 |
67 | 401, 141, 67, 125, 469 |
401, 141, 1, 125, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 67 x 401 x 141 x 1 x 125 x 7 = 6629432250
Therefore, the lowest common multiple of 401,282,134,250,938 is 6629432250.
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.
401 x 282 x 134 x 250 x 938 = 3553375686000
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.
401 : 1, 401
282 : 1, 2, 3, 6, 47, 94, 141, 282
134 : 1, 2, 67, 134
250 : 1, 2, 5, 10, 25, 50, 125, 250
938 : 1, 2, 7, 14, 67, 134, 469, 938
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,282,134,250,938, is 1.
Now, the common factors can be found like this.
401:401
282:2x 3x 47
134:2x 67
250:2x 5x 5x 5
938:2x 7x 67
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 67 = 536
Therefore, the value for common factors is 536.
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 = 3553375686000/(1x536)
LCM = 3553375686000/536
LCM = 6629432250
Thus, we can understand that the LCM of 401,282,134,250,938 is 6629432250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 401, 282, 134, 250, 938?
Answer: LCM of 401, 282, 134, 250, 938 is 6629432250.
2. How to calculate the LCM of 401, 282, 134, 250, 938?
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 401, 282, 134, 250, 938.
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}.