LCM of 867, 360, 840, 367, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 360, 840, 367, 984 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 867, 360, 840, 367, 984. So, keep reading to learn more.
Given numbers are 867,360,840,367,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,360,840,367,984 is 10958429160.
Find LCM of 867,360,840,367,984 with Prime Factorization
| 2 | 867, 360, 840, 367, 984 |
| 2 | 867, 180, 420, 367, 492 |
| 2 | 867, 90, 210, 367, 246 |
| 3 | 867, 45, 105, 367, 123 |
| 5 | 289, 15, 35, 367, 41 |
| 289, 3, 7, 367, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 289 x 3 x 7 x 367 x 41 = 10958429160
Therefore, the lowest common multiple of 867,360,840,367,984 is 10958429160.
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.
867 x 360 x 840 x 367 x 984 = 94680827942400
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.
867 : 1, 3, 17, 51, 289, 867
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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
367 : 1, 367
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,360,840,367,984, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
360:2x 2x 2x 3x 3x 5
840:2x 2x 2x 3x 5x 7
367:367
984:2x 2x 2x 3x 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 2x 2x 3x 3x 3x 5 = 8640
Therefore, the value for common factors is 8640.
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 = 94680827942400/(1x8640)
LCM = 94680827942400/8640
LCM = 10958429160
Thus, we can understand that the LCM of 867,360,840,367,984 is 10958429160.
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FAQs on LCM of 867, 360, 840, 367, 984
1. What is the LCM of 867, 360, 840, 367, 984?
Answer: LCM of 867, 360, 840, 367, 984 is 10958429160.
2. How to calculate the LCM of 867, 360, 840, 367, 984?
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 867, 360, 840, 367, 984.
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}.