LCM of 869, 724, 429, 964, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 724, 429, 964, 296 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 869, 724, 429, 964, 296. So, keep reading to learn more.
Given numbers are 869,724,429,964,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,724,429,964,296 is 437594356056.
Find LCM of 869,724,429,964,296 with Prime Factorization
| 2 | 869, 724, 429, 964, 296 |
| 2 | 869, 362, 429, 482, 148 |
| 11 | 869, 181, 429, 241, 74 |
| 79, 181, 39, 241, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 79 x 181 x 39 x 241 x 74 = 437594356056
Therefore, the lowest common multiple of 869,724,429,964,296 is 437594356056.
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.
869 x 724 x 429 x 964 x 296 = 77016606665856
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.
869 : 1, 11, 79, 869
724 : 1, 2, 4, 181, 362, 724
429 : 1, 3, 11, 13, 33, 39, 143, 429
964 : 1, 2, 4, 241, 482, 964
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,724,429,964,296, is 1.
Now, the common factors can be found like this.
869:11x 79
724:2x 2x 181
429:3x 11x 13
964:2x 2x 241
296:2x 2x 2x 37
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 11 = 176
Therefore, the value for common factors is 176.
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 = 77016606665856/(1x176)
LCM = 77016606665856/176
LCM = 437594356056
Thus, we can understand that the LCM of 869,724,429,964,296 is 437594356056.
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FAQs on LCM of 869, 724, 429, 964, 296
1. What is the LCM of 869, 724, 429, 964, 296?
Answer: LCM of 869, 724, 429, 964, 296 is 437594356056.
2. How to calculate the LCM of 869, 724, 429, 964, 296?
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 869, 724, 429, 964, 296.
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}.