LCM of 986, 204, 279, 655, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 204, 279, 655, 875 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, 204, 279, 655, 875. So, keep reading to learn more.
Given numbers are 986,204,279,655,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,204,279,655,875 is 63065299500.
Find LCM of 986,204,279,655,875 with Prime Factorization
| 2 | 986, 204, 279, 655, 875 |
| 3 | 493, 102, 279, 655, 875 |
| 5 | 493, 34, 93, 655, 875 |
| 17 | 493, 34, 93, 131, 175 |
| 29, 2, 93, 131, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 29 x 2 x 93 x 131 x 175 = 63065299500
Therefore, the lowest common multiple of 986,204,279,655,875 is 63065299500.
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 204 x 279 x 655 x 875 = 32163302745000
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
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
279 : 1, 3, 9, 31, 93, 279
655 : 1, 5, 131, 655
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,204,279,655,875, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
204:2x 2x 3x 17
279:3x 3x 31
655:5x 131
875:5x 5x 5x 7
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 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 32163302745000/(1x510)
LCM = 32163302745000/510
LCM = 63065299500
Thus, we can understand that the LCM of 986,204,279,655,875 is 63065299500.
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FAQs on LCM of 986, 204, 279, 655, 875
1. What is the LCM of 986, 204, 279, 655, 875?
Answer: LCM of 986, 204, 279, 655, 875 is 63065299500.
2. How to calculate the LCM of 986, 204, 279, 655, 875?
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, 204, 279, 655, 875.
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}.