LCM of 572, 378, 969, 429
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 378, 969, 429 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 572, 378, 969, 429. So, keep reading to learn more.
Given numbers are 572,378,969,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,378,969,429 is 34918884.
Find LCM of 572,378,969,429 with Prime Factorization
| 2 | 572, 378, 969, 429 |
| 3 | 286, 189, 969, 429 |
| 11 | 286, 63, 323, 143 |
| 13 | 26, 63, 323, 13 |
| 2, 63, 323, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 2 x 63 x 323 x 1 = 34918884
Therefore, the lowest common multiple of 572,378,969,429 is 34918884.
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.
572 x 378 x 969 x 429 = 89881207416
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
969 : 1, 3, 17, 19, 51, 57, 323, 969
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,378,969,429, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
378:2x 3x 3x 3x 7
969:3x 17x 19
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 11x 13 = 2574
Therefore, the value for common factors is 2574.
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 = 89881207416/(1x2574)
LCM = 89881207416/2574
LCM = 34918884
Thus, we can understand that the LCM of 572,378,969,429 is 34918884.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 378, 969, 429
1. What is the LCM of 572, 378, 969, 429?
Answer: LCM of 572, 378, 969, 429 is 34918884.
2. How to calculate the LCM of 572, 378, 969, 429?
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 572, 378, 969, 429.
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}.