LCM of 792, 737, 453, 531, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 737, 453, 531, 252 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, 737, 453, 531, 252. So, keep reading to learn more.
Given numbers are 792,737,453,531,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,737,453,531,252 is 3309230232.
Find LCM of 792,737,453,531,252 with Prime Factorization
| 2 | 792, 737, 453, 531, 252 |
| 2 | 396, 737, 453, 531, 126 |
| 3 | 198, 737, 453, 531, 63 |
| 3 | 66, 737, 151, 177, 21 |
| 11 | 22, 737, 151, 59, 7 |
| 2, 67, 151, 59, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 2 x 67 x 151 x 59 x 7 = 3309230232
Therefore, the lowest common multiple of 792,737,453,531,252 is 3309230232.
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 737 x 453 x 531 x 252 = 35382289640544
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
737 : 1, 11, 67, 737
453 : 1, 3, 151, 453
531 : 1, 3, 9, 59, 177, 531
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,737,453,531,252, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
737:11x 67
453:3x 151
531:3x 3x 59
252:2x 2x 3x 3x 7
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 3x 3x 3x 3x 3x 11 = 10692
Therefore, the value for common factors is 10692.
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 = 35382289640544/(1x10692)
LCM = 35382289640544/10692
LCM = 3309230232
Thus, we can understand that the LCM of 792,737,453,531,252 is 3309230232.
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FAQs on LCM of 792, 737, 453, 531, 252
1. What is the LCM of 792, 737, 453, 531, 252?
Answer: LCM of 792, 737, 453, 531, 252 is 3309230232.
2. How to calculate the LCM of 792, 737, 453, 531, 252?
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, 737, 453, 531, 252.
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}.