LCM of 274, 982, 176, 616, 896
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 982, 176, 616, 896 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 274, 982, 176, 616, 896. So, keep reading to learn more.
Given numbers are 274,982,176,616,896
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,982,176,616,896 is 662983552.
Find LCM of 274,982,176,616,896 with Prime Factorization
| 2 | 274, 982, 176, 616, 896 |
| 2 | 137, 491, 88, 308, 448 |
| 2 | 137, 491, 44, 154, 224 |
| 2 | 137, 491, 22, 77, 112 |
| 7 | 137, 491, 11, 77, 56 |
| 11 | 137, 491, 11, 11, 8 |
| 137, 491, 1, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 11 x 137 x 491 x 1 x 1 x 8 = 662983552
Therefore, the lowest common multiple of 274,982,176,616,896 is 662983552.
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.
274 x 982 x 176 x 616 x 896 = 26137463554048
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.
274 : 1, 2, 137, 274
982 : 1, 2, 491, 982
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,982,176,616,896, is 2.
Now, the common factors can be found like this.
274:2x 137
982:2x 491
176:2x 2x 2x 2x 11
616:2x 2x 2x 7x 11
896:2x 2x 2x 2x 2x 2x 2x 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 7x 11 = 19712
Therefore, the value for common factors is 19712.
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 = 26137463554048/(2x19712)
LCM = 26137463554048/39424
LCM = 662983552
Thus, we can understand that the LCM of 274,982,176,616,896 is 662983552.
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FAQs on LCM of 274, 982, 176, 616, 896
1. What is the LCM of 274, 982, 176, 616, 896?
Answer: LCM of 274, 982, 176, 616, 896 is 662983552.
2. How to calculate the LCM of 274, 982, 176, 616, 896?
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 274, 982, 176, 616, 896.
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}.