LCM of 792, 748, 957, 748, 247
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 748, 957, 748, 247 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, 748, 957, 748, 247. So, keep reading to learn more.
Given numbers are 792,748,957,748,247
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,748,957,748,247 is 96442632.
Find LCM of 792,748,957,748,247 with Prime Factorization
| 2 | 792, 748, 957, 748, 247 |
| 2 | 396, 374, 957, 374, 247 |
| 3 | 198, 187, 957, 187, 247 |
| 11 | 66, 187, 319, 187, 247 |
| 17 | 6, 17, 29, 17, 247 |
| 6, 1, 29, 1, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 6 x 1 x 29 x 1 x 247 = 96442632
Therefore, the lowest common multiple of 792,748,957,748,247 is 96442632.
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 748 x 957 x 748 x 247 = 104745956844672
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
957 : 1, 3, 11, 29, 33, 87, 319, 957
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
247 : 1, 13, 19, 247
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,748,957,748,247, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
748:2x 2x 11x 17
957:3x 11x 29
748:2x 2x 11x 17
247:13x 19
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 2x 3x 11x 11x 11x 17 = 1086096
Therefore, the value for common factors is 1086096.
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 = 104745956844672/(1x1086096)
LCM = 104745956844672/1086096
LCM = 96442632
Thus, we can understand that the LCM of 792,748,957,748,247 is 96442632.
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FAQs on LCM of 792, 748, 957, 748, 247
1. What is the LCM of 792, 748, 957, 748, 247?
Answer: LCM of 792, 748, 957, 748, 247 is 96442632.
2. How to calculate the LCM of 792, 748, 957, 748, 247?
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, 748, 957, 748, 247.
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}.