LCM of 872, 429, 969, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 429, 969, 644 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 872, 429, 969, 644. So, keep reading to learn more.
Given numbers are 872,429,969,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,429,969,644 is 19453698264.
Find LCM of 872,429,969,644 with Prime Factorization
| 2 | 872, 429, 969, 644 |
| 2 | 436, 429, 969, 322 |
| 3 | 218, 429, 969, 161 |
| 218, 143, 323, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 218 x 143 x 323 x 161 = 19453698264
Therefore, the lowest common multiple of 872,429,969,644 is 19453698264.
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.
872 x 429 x 969 x 644 = 233444379168
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
429 : 1, 3, 11, 13, 33, 39, 143, 429
969 : 1, 3, 17, 19, 51, 57, 323, 969
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,429,969,644, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
429:3x 11x 13
969:3x 17x 19
644:2x 2x 7x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 233444379168/(1x12)
LCM = 233444379168/12
LCM = 19453698264
Thus, we can understand that the LCM of 872,429,969,644 is 19453698264.
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FAQs on LCM of 872, 429, 969, 644
1. What is the LCM of 872, 429, 969, 644?
Answer: LCM of 872, 429, 969, 644 is 19453698264.
2. How to calculate the LCM of 872, 429, 969, 644?
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 872, 429, 969, 644.
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}.