LCM of 330, 310, 978, 663, 502
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 310, 978, 663, 502 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 330, 310, 978, 663, 502. So, keep reading to learn more.
Given numbers are 330,310,978,663,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,310,978,663,502 is 92497337790.
Find LCM of 330,310,978,663,502 with Prime Factorization
| 2 | 330, 310, 978, 663, 502 |
| 3 | 165, 155, 489, 663, 251 |
| 5 | 55, 155, 163, 221, 251 |
| 11, 31, 163, 221, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 31 x 163 x 221 x 251 = 92497337790
Therefore, the lowest common multiple of 330,310,978,663,502 is 92497337790.
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.
330 x 310 x 978 x 663 x 502 = 33299041604400
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
310 : 1, 2, 5, 10, 31, 62, 155, 310
978 : 1, 2, 3, 6, 163, 326, 489, 978
663 : 1, 3, 13, 17, 39, 51, 221, 663
502 : 1, 2, 251, 502
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,310,978,663,502, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
310:2x 5x 31
978:2x 3x 163
663:3x 13x 17
502:2x 251
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 33299041604400/(1x360)
LCM = 33299041604400/360
LCM = 92497337790
Thus, we can understand that the LCM of 330,310,978,663,502 is 92497337790.
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FAQs on LCM of 330, 310, 978, 663, 502
1. What is the LCM of 330, 310, 978, 663, 502?
Answer: LCM of 330, 310, 978, 663, 502 is 92497337790.
2. How to calculate the LCM of 330, 310, 978, 663, 502?
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 330, 310, 978, 663, 502.
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}.