LCM of 863, 240, 728, 840, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 863, 240, 728, 840, 980 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 863, 240, 728, 840, 980. So, keep reading to learn more.
Given numbers are 863,240,728,840,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 863,240,728,840,980 is 131935440.
Find LCM of 863,240,728,840,980 with Prime Factorization
| 2 | 863, 240, 728, 840, 980 |
| 2 | 863, 120, 364, 420, 490 |
| 2 | 863, 60, 182, 210, 245 |
| 3 | 863, 30, 91, 105, 245 |
| 5 | 863, 10, 91, 35, 245 |
| 7 | 863, 2, 91, 7, 49 |
| 863, 2, 13, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 863 x 2 x 13 x 1 x 7 = 131935440
Therefore, the lowest common multiple of 863,240,728,840,980 is 131935440.
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.
863 x 240 x 728 x 840 x 980 = 124124861952000
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.
863 : 1, 863
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 863,240,728,840,980, is 1.
Now, the common factors can be found like this.
863:863
240:2x 2x 2x 2x 3x 5
728:2x 2x 2x 7x 13
840:2x 2x 2x 3x 5x 7
980:2x 2x 5x 7x 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 2x 2x 3x 5x 5x 7x 7 = 940800
Therefore, the value for common factors is 940800.
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 = 124124861952000/(1x940800)
LCM = 124124861952000/940800
LCM = 131935440
Thus, we can understand that the LCM of 863,240,728,840,980 is 131935440.
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FAQs on LCM of 863, 240, 728, 840, 980
1. What is the LCM of 863, 240, 728, 840, 980?
Answer: LCM of 863, 240, 728, 840, 980 is 131935440.
2. How to calculate the LCM of 863, 240, 728, 840, 980?
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 863, 240, 728, 840, 980.
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}.