LCM of 988, 240, 988, 359, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 240, 988, 359, 460 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 988, 240, 988, 359, 460. So, keep reading to learn more.
Given numbers are 988,240,988,359,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,240,988,359,460 is 489474960.
Find LCM of 988,240,988,359,460 with Prime Factorization
| 2 | 988, 240, 988, 359, 460 |
| 2 | 494, 120, 494, 359, 230 |
| 5 | 247, 60, 247, 359, 115 |
| 13 | 247, 12, 247, 359, 23 |
| 19 | 19, 12, 19, 359, 23 |
| 1, 12, 1, 359, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 19 x 1 x 12 x 1 x 359 x 23 = 489474960
Therefore, the lowest common multiple of 988,240,988,359,460 is 489474960.
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.
988 x 240 x 988 x 359 x 460 = 38688100838400
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
359 : 1, 359
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,240,988,359,460, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
240:2x 2x 2x 2x 3x 5
988:2x 2x 13x 19
359:359
460:2x 2x 5x 23
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 5x 13x 19 = 79040
Therefore, the value for common factors is 79040.
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 = 38688100838400/(1x79040)
LCM = 38688100838400/79040
LCM = 489474960
Thus, we can understand that the LCM of 988,240,988,359,460 is 489474960.
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FAQs on LCM of 988, 240, 988, 359, 460
1. What is the LCM of 988, 240, 988, 359, 460?
Answer: LCM of 988, 240, 988, 359, 460 is 489474960.
2. How to calculate the LCM of 988, 240, 988, 359, 460?
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 988, 240, 988, 359, 460.
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}.