LCM of 986, 669, 680, 480, 478
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 669, 680, 480, 478 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, 669, 680, 480, 478. So, keep reading to learn more.
Given numbers are 986,669,680,480,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,669,680,480,478 is 12612202080.
Find LCM of 986,669,680,480,478 with Prime Factorization
| 2 | 986, 669, 680, 480, 478 |
| 2 | 493, 669, 340, 240, 239 |
| 2 | 493, 669, 170, 120, 239 |
| 3 | 493, 669, 85, 60, 239 |
| 5 | 493, 223, 85, 20, 239 |
| 17 | 493, 223, 17, 4, 239 |
| 29, 223, 1, 4, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 17 x 29 x 223 x 1 x 4 x 239 = 12612202080
Therefore, the lowest common multiple of 986,669,680,480,478 is 12612202080.
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 669 x 680 x 480 x 478 = 102915568972800
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
669 : 1, 3, 223, 669
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,669,680,480,478, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
669:3x 223
680:2x 2x 2x 5x 17
480:2x 2x 2x 2x 2x 3x 5
478:2x 239
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 2x 3x 5x 17 = 8160
Therefore, the value for common factors is 8160.
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 = 102915568972800/(1x8160)
LCM = 102915568972800/8160
LCM = 12612202080
Thus, we can understand that the LCM of 986,669,680,480,478 is 12612202080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 986, 669, 680, 480, 478
1. What is the LCM of 986, 669, 680, 480, 478?
Answer: LCM of 986, 669, 680, 480, 478 is 12612202080.
2. How to calculate the LCM of 986, 669, 680, 480, 478?
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, 669, 680, 480, 478.
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}.