LCM of 705, 597, 398, 47
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 597, 398, 47 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 705, 597, 398, 47. So, keep reading to learn more.
Given numbers are 705,597,398,47
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,597,398,47 is 280590.
Find LCM of 705,597,398,47 with Prime Factorization
| 3 | 705, 597, 398, 47 |
| 47 | 235, 199, 398, 47 |
| 199 | 5, 199, 398, 1 |
| 5, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 47 x 199 x 5 x 1 x 2 x 1 = 280590
Therefore, the lowest common multiple of 705,597,398,47 is 280590.
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.
705 x 597 x 398 x 47 = 7873074810
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
597 : 1, 3, 199, 597
398 : 1, 2, 199, 398
47 : 1, 47
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,597,398,47, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
597:3x 199
398:2x 199
47:47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 47x 199 = 28059
Therefore, the value for common factors is 28059.
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 = 7873074810/(1x28059)
LCM = 7873074810/28059
LCM = 280590
Thus, we can understand that the LCM of 705,597,398,47 is 280590.
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FAQs on LCM of 705, 597, 398, 47
1. What is the LCM of 705, 597, 398, 47?
Answer: LCM of 705, 597, 398, 47 is 280590.
2. How to calculate the LCM of 705, 597, 398, 47?
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 705, 597, 398, 47.
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}.