Find the LCM of 792, 386, 146, 663, 102 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 792, 386, 146, 663, 102. So, keep reading to learn more.
Given numbers are 792,386,146,663,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,386,146,663,102 is 2466025848.
Find LCM of 792,386,146,663,102 with Prime Factorization
2 | 792, 386, 146, 663, 102 |
3 | 396, 193, 73, 663, 51 |
17 | 132, 193, 73, 221, 17 |
132, 193, 73, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 132 x 193 x 73 x 13 x 1 = 2466025848
Therefore, the lowest common multiple of 792,386,146,663,102 is 2466025848.
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.
792 x 386 x 146 x 663 x 102 = 3018415637952
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.
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
386 : 1, 2, 193, 386
146 : 1, 2, 73, 146
663 : 1, 3, 13, 17, 39, 51, 221, 663
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,386,146,663,102, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
386:2x 193
146:2x 73
663:3x 13x 17
102:2x 3x 17
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 17 = 1224
Therefore, the value for common factors is 1224.
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 = 3018415637952/(1x1224)
LCM = 3018415637952/1224
LCM = 2466025848
Thus, we can understand that the LCM of 792,386,146,663,102 is 2466025848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 792, 386, 146, 663, 102?
Answer: LCM of 792, 386, 146, 663, 102 is 2466025848.
2. How to calculate the LCM of 792, 386, 146, 663, 102?
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 792, 386, 146, 663, 102.
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}.