LCM of 986, 677, 783, 837, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 677, 783, 837, 948 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 986, 677, 783, 837, 948. So, keep reading to learn more.
Given numbers are 986,677,783,837,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,677,783,837,948 is 88277114412.
Find LCM of 986,677,783,837,948 with Prime Factorization
| 2 | 986, 677, 783, 837, 948 |
| 3 | 493, 677, 783, 837, 474 |
| 3 | 493, 677, 261, 279, 158 |
| 3 | 493, 677, 87, 93, 158 |
| 29 | 493, 677, 29, 31, 158 |
| 17, 677, 1, 31, 158 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 29 x 17 x 677 x 1 x 31 x 158 = 88277114412
Therefore, the lowest common multiple of 986,677,783,837,948 is 88277114412.
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.
986 x 677 x 783 x 837 x 948 = 414725883507576
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
677 : 1, 677
783 : 1, 3, 9, 27, 29, 87, 261, 783
837 : 1, 3, 9, 27, 31, 93, 279, 837
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,677,783,837,948, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
677:677
783:3x 3x 3x 29
837:3x 3x 3x 31
948:2x 2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 29 = 4698
Therefore, the value for common factors is 4698.
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 = 414725883507576/(1x4698)
LCM = 414725883507576/4698
LCM = 88277114412
Thus, we can understand that the LCM of 986,677,783,837,948 is 88277114412.
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FAQs on LCM of 986, 677, 783, 837, 948
1. What is the LCM of 986, 677, 783, 837, 948?
Answer: LCM of 986, 677, 783, 837, 948 is 88277114412.
2. How to calculate the LCM of 986, 677, 783, 837, 948?
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 986, 677, 783, 837, 948.
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}.