Find the LCM of 934, 225, 792, 626, 678 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 934, 225, 792, 626, 678. So, keep reading to learn more.
Given numbers are 934,225,792,626,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,225,792,626,678 is 327042995400.
Find LCM of 934,225,792,626,678 with Prime Factorization
2 | 934, 225, 792, 626, 678 |
3 | 467, 225, 396, 313, 339 |
3 | 467, 75, 132, 313, 113 |
467, 25, 44, 313, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 467 x 25 x 44 x 313 x 113 = 327042995400
Therefore, the lowest common multiple of 934,225,792,626,678 is 327042995400.
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.
934 x 225 x 792 x 626 x 678 = 70641287006400
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.
934 : 1, 2, 467, 934
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
626 : 1, 2, 313, 626
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,225,792,626,678, is 1.
Now, the common factors can be found like this.
934:2x 467
225:3x 3x 5x 5
792:2x 2x 2x 3x 3x 11
626:2x 313
678:2x 3x 113
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 70641287006400/(1x216)
LCM = 70641287006400/216
LCM = 327042995400
Thus, we can understand that the LCM of 934,225,792,626,678 is 327042995400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 934, 225, 792, 626, 678?
Answer: LCM of 934, 225, 792, 626, 678 is 327042995400.
2. How to calculate the LCM of 934, 225, 792, 626, 678?
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 934, 225, 792, 626, 678.
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}.