LCM of 792, 345, 658, 625, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 345, 658, 625, 165 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, 345, 658, 625, 165. So, keep reading to learn more.
Given numbers are 792,345,658,625,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,345,658,625,165 is 3745665000.
Find LCM of 792,345,658,625,165 with Prime Factorization
| 2 | 792, 345, 658, 625, 165 |
| 3 | 396, 345, 329, 625, 165 |
| 5 | 132, 115, 329, 625, 55 |
| 11 | 132, 23, 329, 125, 11 |
| 12, 23, 329, 125, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 12 x 23 x 329 x 125 x 1 = 3745665000
Therefore, the lowest common multiple of 792,345,658,625,165 is 3745665000.
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 345 x 658 x 625 x 165 = 18541041750000
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
658 : 1, 2, 7, 14, 47, 94, 329, 658
625 : 1, 5, 25, 125, 625
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,345,658,625,165, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
345:3x 5x 23
658:2x 7x 47
625:5x 5x 5x 5
165:3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 11 = 4950
Therefore, the value for common factors is 4950.
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 = 18541041750000/(1x4950)
LCM = 18541041750000/4950
LCM = 3745665000
Thus, we can understand that the LCM of 792,345,658,625,165 is 3745665000.
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FAQs on LCM of 792, 345, 658, 625, 165
1. What is the LCM of 792, 345, 658, 625, 165?
Answer: LCM of 792, 345, 658, 625, 165 is 3745665000.
2. How to calculate the LCM of 792, 345, 658, 625, 165?
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, 345, 658, 625, 165.
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}.