LCM of 792, 787, 304, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 787, 304, 874 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, 787, 304, 874. So, keep reading to learn more.
Given numbers are 792,787,304,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,787,304,874 is 544767696.
Find LCM of 792,787,304,874 with Prime Factorization
| 2 | 792, 787, 304, 874 |
| 2 | 396, 787, 152, 437 |
| 2 | 198, 787, 76, 437 |
| 19 | 99, 787, 38, 437 |
| 99, 787, 2, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 99 x 787 x 2 x 23 = 544767696
Therefore, the lowest common multiple of 792,787,304,874 is 544767696.
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 787 x 304 x 874 = 165609379584
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
787 : 1, 787
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,787,304,874, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
787:787
304:2x 2x 2x 2x 19
874:2x 19x 23
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 19 = 304
Therefore, the value for common factors is 304.
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 = 165609379584/(1x304)
LCM = 165609379584/304
LCM = 544767696
Thus, we can understand that the LCM of 792,787,304,874 is 544767696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 792, 787, 304, 874
1. What is the LCM of 792, 787, 304, 874?
Answer: LCM of 792, 787, 304, 874 is 544767696.
2. How to calculate the LCM of 792, 787, 304, 874?
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, 787, 304, 874.
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}.