LCM of 742, 825, 396, 924, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 825, 396, 924, 380 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 742, 825, 396, 924, 380. So, keep reading to learn more.
Given numbers are 742,825,396,924,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,825,396,924,380 is 69785100.
Find LCM of 742,825,396,924,380 with Prime Factorization
| 2 | 742, 825, 396, 924, 380 |
| 2 | 371, 825, 198, 462, 190 |
| 3 | 371, 825, 99, 231, 95 |
| 5 | 371, 275, 33, 77, 95 |
| 7 | 371, 55, 33, 77, 19 |
| 11 | 53, 55, 33, 11, 19 |
| 53, 5, 3, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 11 x 53 x 5 x 3 x 1 x 19 = 69785100
Therefore, the lowest common multiple of 742,825,396,924,380 is 69785100.
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.
742 x 825 x 396 x 924 x 380 = 85115490768000
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,825,396,924,380, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
825:3x 5x 5x 11
396:2x 2x 3x 3x 11
924:2x 2x 3x 7x 11
380:2x 2x 5x 19
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 2x 3x 3x 5x 7x 11x 11 = 1219680
Therefore, the value for common factors is 1219680.
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 = 85115490768000/(1x1219680)
LCM = 85115490768000/1219680
LCM = 69785100
Thus, we can understand that the LCM of 742,825,396,924,380 is 69785100.
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FAQs on LCM of 742, 825, 396, 924, 380
1. What is the LCM of 742, 825, 396, 924, 380?
Answer: LCM of 742, 825, 396, 924, 380 is 69785100.
2. How to calculate the LCM of 742, 825, 396, 924, 380?
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 742, 825, 396, 924, 380.
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}.