LCM of 800, 956, 704, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 956, 704, 792 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 800, 956, 704, 792. So, keep reading to learn more.
Given numbers are 800,956,704,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,956,704,792 is 37857600.
Find LCM of 800,956,704,792 with Prime Factorization
| 2 | 800, 956, 704, 792 |
| 2 | 400, 478, 352, 396 |
| 2 | 200, 239, 176, 198 |
| 2 | 100, 239, 88, 99 |
| 2 | 50, 239, 44, 99 |
| 11 | 25, 239, 22, 99 |
| 25, 239, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 25 x 239 x 2 x 9 = 37857600
Therefore, the lowest common multiple of 800,956,704,792 is 37857600.
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.
800 x 956 x 704 x 792 = 426428006400
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
956 : 1, 2, 4, 239, 478, 956
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
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
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,956,704,792, is 4.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
956:2x 2x 239
704:2x 2x 2x 2x 2x 2x 11
792:2x 2x 2x 3x 3x 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 2x 2x 2x 2x 2x 2x 2x 11 = 2816
Therefore, the value for common factors is 2816.
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 = 426428006400/(4x2816)
LCM = 426428006400/11264
LCM = 37857600
Thus, we can understand that the LCM of 800,956,704,792 is 37857600.
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FAQs on LCM of 800, 956, 704, 792
1. What is the LCM of 800, 956, 704, 792?
Answer: LCM of 800, 956, 704, 792 is 37857600.
2. How to calculate the LCM of 800, 956, 704, 792?
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 800, 956, 704, 792.
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}.