LCM of 884, 224, 508, 854, 962
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 224, 508, 854, 962 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 884, 224, 508, 854, 962. So, keep reading to learn more.
Given numbers are 884,224,508,854,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,224,508,854,962 is 14189777056.
Find LCM of 884,224,508,854,962 with Prime Factorization
| 2 | 884, 224, 508, 854, 962 |
| 2 | 442, 112, 254, 427, 481 |
| 7 | 221, 56, 127, 427, 481 |
| 13 | 221, 8, 127, 61, 481 |
| 17, 8, 127, 61, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 17 x 8 x 127 x 61 x 37 = 14189777056
Therefore, the lowest common multiple of 884,224,508,854,962 is 14189777056.
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.
884 x 224 x 508 x 854 x 962 = 82641261574144
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
508 : 1, 2, 4, 127, 254, 508
854 : 1, 2, 7, 14, 61, 122, 427, 854
962 : 1, 2, 13, 26, 37, 74, 481, 962
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,224,508,854,962, is 2.
Now, the common factors can be found like this.
884:2x 2x 13x 17
224:2x 2x 2x 2x 2x 7
508:2x 2x 127
854:2x 7x 61
962:2x 13x 37
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 7x 13 = 2912
Therefore, the value for common factors is 2912.
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 = 82641261574144/(2x2912)
LCM = 82641261574144/5824
LCM = 14189777056
Thus, we can understand that the LCM of 884,224,508,854,962 is 14189777056.
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FAQs on LCM of 884, 224, 508, 854, 962
1. What is the LCM of 884, 224, 508, 854, 962?
Answer: LCM of 884, 224, 508, 854, 962 is 14189777056.
2. How to calculate the LCM of 884, 224, 508, 854, 962?
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 884, 224, 508, 854, 962.
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}.