LCM of 358, 864, 491, 982, 892
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 864, 491, 982, 892 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 358, 864, 491, 982, 892. So, keep reading to learn more.
Given numbers are 358,864,491,982,892
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,864,491,982,892 is 16933749408.
Find LCM of 358,864,491,982,892 with Prime Factorization
| 2 | 358, 864, 491, 982, 892 |
| 2 | 179, 432, 491, 491, 446 |
| 491 | 179, 216, 491, 491, 223 |
| 179, 216, 1, 1, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 491 x 179 x 216 x 1 x 1 x 223 = 16933749408
Therefore, the lowest common multiple of 358,864,491,982,892 is 16933749408.
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.
358 x 864 x 491 x 982 x 892 = 133031535349248
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.
358 : 1, 2, 179, 358
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
491 : 1, 491
982 : 1, 2, 491, 982
892 : 1, 2, 4, 223, 446, 892
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,864,491,982,892, is 1.
Now, the common factors can be found like this.
358:2x 179
864:2x 2x 2x 2x 2x 3x 3x 3
491:491
982:2x 491
892:2x 2x 223
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 491 = 7856
Therefore, the value for common factors is 7856.
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 = 133031535349248/(1x7856)
LCM = 133031535349248/7856
LCM = 16933749408
Thus, we can understand that the LCM of 358,864,491,982,892 is 16933749408.
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FAQs on LCM of 358, 864, 491, 982, 892
1. What is the LCM of 358, 864, 491, 982, 892?
Answer: LCM of 358, 864, 491, 982, 892 is 16933749408.
2. How to calculate the LCM of 358, 864, 491, 982, 892?
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 358, 864, 491, 982, 892.
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}.