LCM of 988, 310, 315, 527, 840
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 310, 315, 527, 840 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, 310, 315, 527, 840. So, keep reading to learn more.
Given numbers are 988,310,315,527,840
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,310,315,527,840 is 328025880.
Find LCM of 988,310,315,527,840 with Prime Factorization
| 2 | 988, 310, 315, 527, 840 |
| 2 | 494, 155, 315, 527, 420 |
| 3 | 247, 155, 315, 527, 210 |
| 5 | 247, 155, 105, 527, 70 |
| 7 | 247, 31, 21, 527, 14 |
| 31 | 247, 31, 3, 527, 2 |
| 247, 1, 3, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 31 x 247 x 1 x 3 x 17 x 2 = 328025880
Therefore, the lowest common multiple of 988,310,315,527,840 is 328025880.
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 310 x 315 x 527 x 840 = 42708969576000
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
310 : 1, 2, 5, 10, 31, 62, 155, 310
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
527 : 1, 17, 31, 527
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,310,315,527,840, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
310:2x 5x 31
315:3x 3x 5x 7
527:17x 31
840:2x 2x 2x 3x 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 3x 5x 5x 7x 31 = 130200
Therefore, the value for common factors is 130200.
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 = 42708969576000/(1x130200)
LCM = 42708969576000/130200
LCM = 328025880
Thus, we can understand that the LCM of 988,310,315,527,840 is 328025880.
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FAQs on LCM of 988, 310, 315, 527, 840
1. What is the LCM of 988, 310, 315, 527, 840?
Answer: LCM of 988, 310, 315, 527, 840 is 328025880.
2. How to calculate the LCM of 988, 310, 315, 527, 840?
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, 310, 315, 527, 840.
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}.