LCM of 314, 600, 522, 398, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 600, 522, 398, 342 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 314, 600, 522, 398, 342. So, keep reading to learn more.
Given numbers are 314,600,522,398,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,600,522,398,342 is 30986807400.
Find LCM of 314,600,522,398,342 with Prime Factorization
| 2 | 314, 600, 522, 398, 342 |
| 3 | 157, 300, 261, 199, 171 |
| 3 | 157, 100, 87, 199, 57 |
| 157, 100, 29, 199, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 157 x 100 x 29 x 199 x 19 = 30986807400
Therefore, the lowest common multiple of 314,600,522,398,342 is 30986807400.
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.
314 x 600 x 522 x 398 x 342 = 13386300796800
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.
314 : 1, 2, 157, 314
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
398 : 1, 2, 199, 398
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,600,522,398,342, is 2.
Now, the common factors can be found like this.
314:2x 157
600:2x 2x 2x 3x 5x 5
522:2x 3x 3x 29
398:2x 199
342:2x 3x 3x 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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 13386300796800/(2x216)
LCM = 13386300796800/432
LCM = 30986807400
Thus, we can understand that the LCM of 314,600,522,398,342 is 30986807400.
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FAQs on LCM of 314, 600, 522, 398, 342
1. What is the LCM of 314, 600, 522, 398, 342?
Answer: LCM of 314, 600, 522, 398, 342 is 30986807400.
2. How to calculate the LCM of 314, 600, 522, 398, 342?
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 314, 600, 522, 398, 342.
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}.