Find the LCM of 492, 569, 306, 902, 352 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 492, 569, 306, 902, 352. So, keep reading to learn more.
Given numbers are 492,569,306,902,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,569,306,902,352 is 1256406624.
Find LCM of 492,569,306,902,352 with Prime Factorization
2 | 492, 569, 306, 902, 352 |
2 | 246, 569, 153, 451, 176 |
3 | 123, 569, 153, 451, 88 |
11 | 41, 569, 51, 451, 88 |
41 | 41, 569, 51, 41, 8 |
1, 569, 51, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 41 x 1 x 569 x 51 x 1 x 8 = 1256406624
Therefore, the lowest common multiple of 492,569,306,902,352 is 1256406624.
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.
492 x 569 x 306 x 902 x 352 = 27198690596352
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
569 : 1, 569
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
902 : 1, 2, 11, 22, 41, 82, 451, 902
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,569,306,902,352, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
569:569
306:2x 3x 3x 17
902:2x 11x 41
352:2x 2x 2x 2x 2x 11
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 3x 11x 41 = 21648
Therefore, the value for common factors is 21648.
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 = 27198690596352/(1x21648)
LCM = 27198690596352/21648
LCM = 1256406624
Thus, we can understand that the LCM of 492,569,306,902,352 is 1256406624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 569, 306, 902, 352?
Answer: LCM of 492, 569, 306, 902, 352 is 1256406624.
2. How to calculate the LCM of 492, 569, 306, 902, 352?
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 492, 569, 306, 902, 352.
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}.