LCM of 824, 713, 964, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 713, 964, 920 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 824, 713, 964, 920. So, keep reading to learn more.
Given numbers are 824,713,964,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,713,964,920 is 707951960.
Find LCM of 824,713,964,920 with Prime Factorization
| 2 | 824, 713, 964, 920 |
| 2 | 412, 713, 482, 460 |
| 2 | 206, 713, 241, 230 |
| 23 | 103, 713, 241, 115 |
| 103, 31, 241, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 103 x 31 x 241 x 5 = 707951960
Therefore, the lowest common multiple of 824,713,964,920 is 707951960.
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.
824 x 713 x 964 x 920 = 521052642560
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
713 : 1, 23, 31, 713
964 : 1, 2, 4, 241, 482, 964
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,713,964,920, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
713:23x 31
964:2x 2x 241
920:2x 2x 2x 5x 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 2x 23 = 736
Therefore, the value for common factors is 736.
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 = 521052642560/(1x736)
LCM = 521052642560/736
LCM = 707951960
Thus, we can understand that the LCM of 824,713,964,920 is 707951960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 824, 713, 964, 920
1. What is the LCM of 824, 713, 964, 920?
Answer: LCM of 824, 713, 964, 920 is 707951960.
2. How to calculate the LCM of 824, 713, 964, 920?
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 824, 713, 964, 920.
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}.