LCM of 984, 945, 342, 280
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 945, 342, 280 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 984, 945, 342, 280. So, keep reading to learn more.
Given numbers are 984,945,342,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,945,342,280 is 5889240.
Find LCM of 984,945,342,280 with Prime Factorization
| 2 | 984, 945, 342, 280 |
| 2 | 492, 945, 171, 140 |
| 2 | 246, 945, 171, 70 |
| 3 | 123, 945, 171, 35 |
| 3 | 41, 315, 57, 35 |
| 5 | 41, 105, 19, 35 |
| 7 | 41, 21, 19, 7 |
| 41, 3, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 41 x 3 x 19 x 1 = 5889240
Therefore, the lowest common multiple of 984,945,342,280 is 5889240.
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.
984 x 945 x 342 x 280 = 89045308800
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,945,342,280, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
945:3x 3x 3x 5x 7
342:2x 3x 3x 19
280:2x 2x 2x 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 3x 3x 3x 5x 7 = 15120
Therefore, the value for common factors is 15120.
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 = 89045308800/(1x15120)
LCM = 89045308800/15120
LCM = 5889240
Thus, we can understand that the LCM of 984,945,342,280 is 5889240.
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FAQs on LCM of 984, 945, 342, 280
1. What is the LCM of 984, 945, 342, 280?
Answer: LCM of 984, 945, 342, 280 is 5889240.
2. How to calculate the LCM of 984, 945, 342, 280?
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 984, 945, 342, 280.
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}.