LCM of 986, 136, 303, 980, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 136, 303, 980, 101 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, 136, 303, 980, 101. So, keep reading to learn more.
Given numbers are 986,136,303,980,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,136,303,980,101 is 292782840.
Find LCM of 986,136,303,980,101 with Prime Factorization
| 2 | 986, 136, 303, 980, 101 |
| 2 | 493, 68, 303, 490, 101 |
| 17 | 493, 34, 303, 245, 101 |
| 101 | 29, 2, 303, 245, 101 |
| 29, 2, 3, 245, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 101 x 29 x 2 x 3 x 245 x 1 = 292782840
Therefore, the lowest common multiple of 986,136,303,980,101 is 292782840.
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 136 x 303 x 980 x 101 = 4021665090240
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
136 : 1, 2, 4, 8, 17, 34, 68, 136
303 : 1, 3, 101, 303
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,136,303,980,101, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
136:2x 2x 2x 17
303:3x 101
980:2x 2x 5x 7x 7
101:101
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 17x 101 = 13736
Therefore, the value for common factors is 13736.
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 = 4021665090240/(1x13736)
LCM = 4021665090240/13736
LCM = 292782840
Thus, we can understand that the LCM of 986,136,303,980,101 is 292782840.
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FAQs on LCM of 986, 136, 303, 980, 101
1. What is the LCM of 986, 136, 303, 980, 101?
Answer: LCM of 986, 136, 303, 980, 101 is 292782840.
2. How to calculate the LCM of 986, 136, 303, 980, 101?
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, 136, 303, 980, 101.
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}.