LCM of 609, 924, 959, 388
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 924, 959, 388 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 609, 924, 959, 388. So, keep reading to learn more.
Given numbers are 609,924,959,388
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,924,959,388 is 356092044.
Find LCM of 609,924,959,388 with Prime Factorization
| 2 | 609, 924, 959, 388 |
| 2 | 609, 462, 959, 194 |
| 3 | 609, 231, 959, 97 |
| 7 | 203, 77, 959, 97 |
| 29, 11, 137, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 29 x 11 x 137 x 97 = 356092044
Therefore, the lowest common multiple of 609,924,959,388 is 356092044.
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.
609 x 924 x 959 x 388 = 209382121872
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
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
959 : 1, 7, 137, 959
388 : 1, 2, 4, 97, 194, 388
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,924,959,388, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
924:2x 2x 3x 7x 11
959:7x 137
388:2x 2x 97
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 3x 7x 7 = 588
Therefore, the value for common factors is 588.
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 = 209382121872/(1x588)
LCM = 209382121872/588
LCM = 356092044
Thus, we can understand that the LCM of 609,924,959,388 is 356092044.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 609, 924, 959, 388
1. What is the LCM of 609, 924, 959, 388?
Answer: LCM of 609, 924, 959, 388 is 356092044.
2. How to calculate the LCM of 609, 924, 959, 388?
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 609, 924, 959, 388.
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}.