LCM of 631, 596, 369, 420, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 631, 596, 369, 420, 820 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 631, 596, 369, 420, 820. So, keep reading to learn more.
Given numbers are 631,596,369,420,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,596,369,420,820 is 4857021540.
Find LCM of 631,596,369,420,820 with Prime Factorization
| 2 | 631, 596, 369, 420, 820 |
| 2 | 631, 298, 369, 210, 410 |
| 3 | 631, 149, 369, 105, 205 |
| 5 | 631, 149, 123, 35, 205 |
| 41 | 631, 149, 123, 7, 41 |
| 631, 149, 3, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 631 x 149 x 3 x 7 x 1 = 4857021540
Therefore, the lowest common multiple of 631,596,369,420,820 is 4857021540.
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.
631 x 596 x 369 x 420 x 820 = 47793091953600
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.
631 : 1, 631
596 : 1, 2, 4, 149, 298, 596
369 : 1, 3, 9, 41, 123, 369
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,596,369,420,820, is 1.
Now, the common factors can be found like this.
631:631
596:2x 2x 149
369:3x 3x 41
420:2x 2x 3x 5x 7
820:2x 2x 5x 41
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 2x 3x 5x 41 = 9840
Therefore, the value for common factors is 9840.
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 = 47793091953600/(1x9840)
LCM = 47793091953600/9840
LCM = 4857021540
Thus, we can understand that the LCM of 631,596,369,420,820 is 4857021540.
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FAQs on LCM of 631, 596, 369, 420, 820
1. What is the LCM of 631, 596, 369, 420, 820?
Answer: LCM of 631, 596, 369, 420, 820 is 4857021540.
2. How to calculate the LCM of 631, 596, 369, 420, 820?
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 631, 596, 369, 420, 820.
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}.