LCM of 980, 102, 283, 979, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 102, 283, 979, 979 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 980, 102, 283, 979, 979. So, keep reading to learn more.
Given numbers are 980,102,283,979,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,102,283,979,979 is 13847308860.
Find LCM of 980,102,283,979,979 with Prime Factorization
| 2 | 980, 102, 283, 979, 979 |
| 11 | 490, 51, 283, 979, 979 |
| 89 | 490, 51, 283, 89, 89 |
| 490, 51, 283, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 89 x 490 x 51 x 283 x 1 x 1 = 13847308860
Therefore, the lowest common multiple of 980,102,283,979,979 is 13847308860.
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.
980 x 102 x 283 x 979 x 979 = 27113030747880
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
102 : 1, 2, 3, 6, 17, 34, 51, 102
283 : 1, 283
979 : 1, 11, 89, 979
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,102,283,979,979, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
102:2x 3x 17
283:283
979:11x 89
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 89 = 1958
Therefore, the value for common factors is 1958.
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 = 27113030747880/(1x1958)
LCM = 27113030747880/1958
LCM = 13847308860
Thus, we can understand that the LCM of 980,102,283,979,979 is 13847308860.
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FAQs on LCM of 980, 102, 283, 979, 979
1. What is the LCM of 980, 102, 283, 979, 979?
Answer: LCM of 980, 102, 283, 979, 979 is 13847308860.
2. How to calculate the LCM of 980, 102, 283, 979, 979?
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 980, 102, 283, 979, 979.
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}.