LCM of 792, 637, 868, 794, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 637, 868, 794, 459 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, 637, 868, 794, 459. So, keep reading to learn more.
Given numbers are 792,637,868,794,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,637,868,794,459 is 316655467128.
Find LCM of 792,637,868,794,459 with Prime Factorization
| 2 | 792, 637, 868, 794, 459 |
| 2 | 396, 637, 434, 397, 459 |
| 3 | 198, 637, 217, 397, 459 |
| 3 | 66, 637, 217, 397, 153 |
| 7 | 22, 637, 217, 397, 51 |
| 22, 91, 31, 397, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 22 x 91 x 31 x 397 x 51 = 316655467128
Therefore, the lowest common multiple of 792,637,868,794,459 is 316655467128.
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 637 x 868 x 794 x 459 = 159594355432512
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
637 : 1, 7, 13, 49, 91, 637
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
794 : 1, 2, 397, 794
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,637,868,794,459, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
637:7x 7x 13
868:2x 2x 7x 31
794:2x 397
459:3x 3x 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 7 = 504
Therefore, the value for common factors is 504.
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 = 159594355432512/(1x504)
LCM = 159594355432512/504
LCM = 316655467128
Thus, we can understand that the LCM of 792,637,868,794,459 is 316655467128.
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FAQs on LCM of 792, 637, 868, 794, 459
1. What is the LCM of 792, 637, 868, 794, 459?
Answer: LCM of 792, 637, 868, 794, 459 is 316655467128.
2. How to calculate the LCM of 792, 637, 868, 794, 459?
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, 637, 868, 794, 459.
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}.