LCM of 834, 946, 711, 982, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 946, 711, 982, 552 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 834, 946, 711, 982, 552. So, keep reading to learn more.
Given numbers are 834,946,711,982,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,946,711,982,552 is 4223231194248.
Find LCM of 834,946,711,982,552 with Prime Factorization
| 2 | 834, 946, 711, 982, 552 |
| 3 | 417, 473, 711, 491, 276 |
| 139, 473, 237, 491, 92 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 139 x 473 x 237 x 491 x 92 = 4223231194248
Therefore, the lowest common multiple of 834,946,711,982,552 is 4223231194248.
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.
834 x 946 x 711 x 982 x 552 = 304072645985856
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
946 : 1, 2, 11, 22, 43, 86, 473, 946
711 : 1, 3, 9, 79, 237, 711
982 : 1, 2, 491, 982
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,946,711,982,552, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
946:2x 11x 43
711:3x 3x 79
982:2x 491
552:2x 2x 2x 3x 23
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 304072645985856/(1x72)
LCM = 304072645985856/72
LCM = 4223231194248
Thus, we can understand that the LCM of 834,946,711,982,552 is 4223231194248.
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FAQs on LCM of 834, 946, 711, 982, 552
1. What is the LCM of 834, 946, 711, 982, 552?
Answer: LCM of 834, 946, 711, 982, 552 is 4223231194248.
2. How to calculate the LCM of 834, 946, 711, 982, 552?
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 834, 946, 711, 982, 552.
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}.