LCM of 485, 986, 105, 714, 622
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 485, 986, 105, 714, 622 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 485, 986, 105, 714, 622. So, keep reading to learn more.
Given numbers are 485,986,105,714,622
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,986,105,714,622 is 3123189510.
Find LCM of 485,986,105,714,622 with Prime Factorization
| 2 | 485, 986, 105, 714, 622 |
| 3 | 485, 493, 105, 357, 311 |
| 5 | 485, 493, 35, 119, 311 |
| 7 | 97, 493, 7, 119, 311 |
| 17 | 97, 493, 1, 17, 311 |
| 97, 29, 1, 1, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 17 x 97 x 29 x 1 x 1 x 311 = 3123189510
Therefore, the lowest common multiple of 485,986,105,714,622 is 3123189510.
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.
485 x 986 x 105 x 714 x 622 = 22299573101400
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.
485 : 1, 5, 97, 485
986 : 1, 2, 17, 29, 34, 58, 493, 986
105 : 1, 3, 5, 7, 15, 21, 35, 105
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
622 : 1, 2, 311, 622
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,986,105,714,622, is 1.
Now, the common factors can be found like this.
485:5x 97
986:2x 17x 29
105:3x 5x 7
714:2x 3x 7x 17
622:2x 311
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 3x 5x 7x 17 = 7140
Therefore, the value for common factors is 7140.
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 = 22299573101400/(1x7140)
LCM = 22299573101400/7140
LCM = 3123189510
Thus, we can understand that the LCM of 485,986,105,714,622 is 3123189510.
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FAQs on LCM of 485, 986, 105, 714, 622
1. What is the LCM of 485, 986, 105, 714, 622?
Answer: LCM of 485, 986, 105, 714, 622 is 3123189510.
2. How to calculate the LCM of 485, 986, 105, 714, 622?
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 485, 986, 105, 714, 622.
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}.