LCM of 572, 651, 969, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 651, 969, 442 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, 651, 969, 442. So, keep reading to learn more.
Given numbers are 572,651,969,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,651,969,442 is 120276156.
Find LCM of 572,651,969,442 with Prime Factorization
| 2 | 572, 651, 969, 442 |
| 3 | 286, 651, 969, 221 |
| 13 | 286, 217, 323, 221 |
| 17 | 22, 217, 323, 17 |
| 22, 217, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 22 x 217 x 19 x 1 = 120276156
Therefore, the lowest common multiple of 572,651,969,442 is 120276156.
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 651 x 969 x 442 = 159486182856
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
651 : 1, 3, 7, 21, 31, 93, 217, 651
969 : 1, 3, 17, 19, 51, 57, 323, 969
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,651,969,442, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
651:3x 7x 31
969:3x 17x 19
442:2x 13x 17
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 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 159486182856/(1x1326)
LCM = 159486182856/1326
LCM = 120276156
Thus, we can understand that the LCM of 572,651,969,442 is 120276156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 572, 651, 969, 442
1. What is the LCM of 572, 651, 969, 442?
Answer: LCM of 572, 651, 969, 442 is 120276156.
2. How to calculate the LCM of 572, 651, 969, 442?
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, 651, 969, 442.
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}.