LCM of 397, 639, 840, 574, 514
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 639, 840, 574, 514 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 397, 639, 840, 574, 514. So, keep reading to learn more.
Given numbers are 397,639,840,574,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,639,840,574,514 is 748456175880.
Find LCM of 397,639,840,574,514 with Prime Factorization
| 2 | 397, 639, 840, 574, 514 |
| 3 | 397, 639, 420, 287, 257 |
| 7 | 397, 213, 140, 287, 257 |
| 397, 213, 20, 41, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 397 x 213 x 20 x 41 x 257 = 748456175880
Therefore, the lowest common multiple of 397,639,840,574,514 is 748456175880.
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.
397 x 639 x 840 x 574 x 514 = 62870318773920
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.
397 : 1, 397
639 : 1, 3, 9, 71, 213, 639
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
574 : 1, 2, 7, 14, 41, 82, 287, 574
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,639,840,574,514, is 1.
Now, the common factors can be found like this.
397:397
639:3x 3x 71
840:2x 2x 2x 3x 5x 7
574:2x 7x 41
514:2x 257
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 7 = 84
Therefore, the value for common factors is 84.
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 = 62870318773920/(1x84)
LCM = 62870318773920/84
LCM = 748456175880
Thus, we can understand that the LCM of 397,639,840,574,514 is 748456175880.
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FAQs on LCM of 397, 639, 840, 574, 514
1. What is the LCM of 397, 639, 840, 574, 514?
Answer: LCM of 397, 639, 840, 574, 514 is 748456175880.
2. How to calculate the LCM of 397, 639, 840, 574, 514?
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 397, 639, 840, 574, 514.
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}.