LCM of 520, 780, 250, 705, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 520, 780, 250, 705, 840 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 520, 780, 250, 705, 840. So, keep reading to learn more.
Given numbers are 520,780,250,705,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 520,780,250,705,840 is 12831000.
Find LCM of 520,780,250,705,840 with Prime Factorization
| 2 | 520, 780, 250, 705, 840 |
| 2 | 260, 390, 125, 705, 420 |
| 2 | 130, 195, 125, 705, 210 |
| 3 | 65, 195, 125, 705, 105 |
| 5 | 65, 65, 125, 235, 35 |
| 13 | 13, 13, 25, 47, 7 |
| 1, 1, 25, 47, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 1 x 1 x 25 x 47 x 7 = 12831000
Therefore, the lowest common multiple of 520,780,250,705,840 is 12831000.
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.
520 x 780 x 250 x 705 x 840 = 60049080000000
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.
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
250 : 1, 2, 5, 10, 25, 50, 125, 250
705 : 1, 3, 5, 15, 47, 141, 235, 705
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
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,780,250,705,840, is 5.
Now, the common factors can be found like this.
520:2x 2x 2x 5x 13
780:2x 2x 3x 5x 13
250:2x 5x 5x 5
705:3x 5x 47
840:2x 2x 2x 3x 5x 7
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 2x 2x 3x 3x 5x 5x 5x 13 = 936000
Therefore, the value for common factors is 936000.
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 = 60049080000000/(5x936000)
LCM = 60049080000000/4680000
LCM = 12831000
Thus, we can understand that the LCM of 520,780,250,705,840 is 12831000.
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FAQs on LCM of 520, 780, 250, 705, 840
1. What is the LCM of 520, 780, 250, 705, 840?
Answer: LCM of 520, 780, 250, 705, 840 is 12831000.
2. How to calculate the LCM of 520, 780, 250, 705, 840?
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 520, 780, 250, 705, 840.
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}.