LCM of 470, 845, 816, 986, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 845, 816, 986, 988 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 470, 845, 816, 986, 988. So, keep reading to learn more.
Given numbers are 470,845,816,986,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,845,816,986,988 is 17856499440.
Find LCM of 470,845,816,986,988 with Prime Factorization
| 2 | 470, 845, 816, 986, 988 |
| 2 | 235, 845, 408, 493, 494 |
| 5 | 235, 845, 204, 493, 247 |
| 13 | 47, 169, 204, 493, 247 |
| 17 | 47, 13, 204, 493, 19 |
| 47, 13, 12, 29, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 17 x 47 x 13 x 12 x 29 x 19 = 17856499440
Therefore, the lowest common multiple of 470,845,816,986,988 is 17856499440.
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.
470 x 845 x 816 x 986 x 988 = 315702910099200
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
845 : 1, 5, 13, 65, 169, 845
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
986 : 1, 2, 17, 29, 34, 58, 493, 986
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,845,816,986,988, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
845:5x 13x 13
816:2x 2x 2x 2x 3x 17
986:2x 17x 29
988:2x 2x 13x 19
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 2x 5x 13x 17 = 17680
Therefore, the value for common factors is 17680.
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 = 315702910099200/(1x17680)
LCM = 315702910099200/17680
LCM = 17856499440
Thus, we can understand that the LCM of 470,845,816,986,988 is 17856499440.
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FAQs on LCM of 470, 845, 816, 986, 988
1. What is the LCM of 470, 845, 816, 986, 988?
Answer: LCM of 470, 845, 816, 986, 988 is 17856499440.
2. How to calculate the LCM of 470, 845, 816, 986, 988?
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 470, 845, 816, 986, 988.
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}.