LCM of 121, 392, 488, 988, 350
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 121, 392, 488, 988, 350 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 121, 392, 488, 988, 350. So, keep reading to learn more.
Given numbers are 121,392,488,988,350
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 121,392,488,988,350 is 17866448600.
Find LCM of 121,392,488,988,350 with Prime Factorization
| 2 | 121, 392, 488, 988, 350 |
| 2 | 121, 196, 244, 494, 175 |
| 2 | 121, 98, 122, 247, 175 |
| 7 | 121, 49, 61, 247, 175 |
| 121, 7, 61, 247, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 121 x 7 x 61 x 247 x 25 = 17866448600
Therefore, the lowest common multiple of 121,392,488,988,350 is 17866448600.
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.
121 x 392 x 488 x 988 x 350 = 8004168972800
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.
121 : 1, 11, 121
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
488 : 1, 2, 4, 8, 61, 122, 244, 488
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,392,488,988,350, is 1.
Now, the common factors can be found like this.
121:11x 11
392:2x 2x 2x 7x 7
488:2x 2x 2x 61
988:2x 2x 13x 19
350:2x 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 2x 2x 2x 2x 2x 7 = 448
Therefore, the value for common factors is 448.
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 = 8004168972800/(1x448)
LCM = 8004168972800/448
LCM = 17866448600
Thus, we can understand that the LCM of 121,392,488,988,350 is 17866448600.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 121, 392, 488, 988, 350
1. What is the LCM of 121, 392, 488, 988, 350?
Answer: LCM of 121, 392, 488, 988, 350 is 17866448600.
2. How to calculate the LCM of 121, 392, 488, 988, 350?
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 121, 392, 488, 988, 350.
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}.