LCM of 597, 336, 420, 438
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 597, 336, 420, 438 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 597, 336, 420, 438. So, keep reading to learn more.
Given numbers are 597,336,420,438
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 597,336,420,438 is 24405360.
Find LCM of 597,336,420,438 with Prime Factorization
| 2 | 597, 336, 420, 438 |
| 2 | 597, 168, 210, 219 |
| 3 | 597, 84, 105, 219 |
| 7 | 199, 28, 35, 73 |
| 199, 4, 5, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 199 x 4 x 5 x 73 = 24405360
Therefore, the lowest common multiple of 597,336,420,438 is 24405360.
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.
597 x 336 x 420 x 438 = 36900904320
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.
597 : 1, 3, 199, 597
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
438 : 1, 2, 3, 6, 73, 146, 219, 438
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,336,420,438, is 3.
Now, the common factors can be found like this.
597:3x 199
336:2x 2x 2x 2x 3x 7
420:2x 2x 3x 5x 7
438:2x 3x 73
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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 36900904320/(3x504)
LCM = 36900904320/1512
LCM = 24405360
Thus, we can understand that the LCM of 597,336,420,438 is 24405360.
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FAQs on LCM of 597, 336, 420, 438
1. What is the LCM of 597, 336, 420, 438?
Answer: LCM of 597, 336, 420, 438 is 24405360.
2. How to calculate the LCM of 597, 336, 420, 438?
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 597, 336, 420, 438.
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}.