Find the LCM of 938, 782, 543, 362, 724 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 938, 782, 543, 362, 724. So, keep reading to learn more.
Given numbers are 938,782,543,362,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 938,782,543,362,724 is 398299188.
Find LCM of 938,782,543,362,724 with Prime Factorization
2 | 938, 782, 543, 362, 724 |
181 | 469, 391, 543, 181, 362 |
469, 391, 3, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 181 x 469 x 391 x 3 x 1 x 2 = 398299188
Therefore, the lowest common multiple of 938,782,543,362,724 is 398299188.
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.
938 x 782 x 543 x 362 x 724 = 104389437584544
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.
938 : 1, 2, 7, 14, 67, 134, 469, 938
782 : 1, 2, 17, 23, 34, 46, 391, 782
543 : 1, 3, 181, 543
362 : 1, 2, 181, 362
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 938,782,543,362,724, is 1.
Now, the common factors can be found like this.
938:2x 7x 67
782:2x 17x 23
543:3x 181
362:2x 181
724:2x 2x 181
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 181x 181 = 262088
Therefore, the value for common factors is 262088.
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 = 104389437584544/(1x262088)
LCM = 104389437584544/262088
LCM = 398299188
Thus, we can understand that the LCM of 938,782,543,362,724 is 398299188.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 938, 782, 543, 362, 724?
Answer: LCM of 938, 782, 543, 362, 724 is 398299188.
2. How to calculate the LCM of 938, 782, 543, 362, 724?
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 938, 782, 543, 362, 724.
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}.