LCM of 991, 945, 280, 848
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 945, 280, 848 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 991, 945, 280, 848. So, keep reading to learn more.
Given numbers are 991,945,280,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,945,280,848 is 794147760.
Find LCM of 991,945,280,848 with Prime Factorization
| 2 | 991, 945, 280, 848 |
| 2 | 991, 945, 140, 424 |
| 2 | 991, 945, 70, 212 |
| 5 | 991, 945, 35, 106 |
| 7 | 991, 189, 7, 106 |
| 991, 27, 1, 106 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 991 x 27 x 1 x 106 = 794147760
Therefore, the lowest common multiple of 991,945,280,848 is 794147760.
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.
991 x 945 x 280 x 848 = 222361372800
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.
991 : 1, 991
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,945,280,848, is 1.
Now, the common factors can be found like this.
991:991
945:3x 3x 3x 5x 7
280:2x 2x 2x 5x 7
848:2x 2x 2x 2x 53
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 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 222361372800/(1x280)
LCM = 222361372800/280
LCM = 794147760
Thus, we can understand that the LCM of 991,945,280,848 is 794147760.
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FAQs on LCM of 991, 945, 280, 848
1. What is the LCM of 991, 945, 280, 848?
Answer: LCM of 991, 945, 280, 848 is 794147760.
2. How to calculate the LCM of 991, 945, 280, 848?
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 991, 945, 280, 848.
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}.