LCM of 470, 978, 330, 242
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 978, 330, 242 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 470, 978, 330, 242. So, keep reading to learn more.
Given numbers are 470,978,330,242
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,978,330,242 is 27809430.
Find LCM of 470,978,330,242 with Prime Factorization
| 2 | 470, 978, 330, 242 |
| 3 | 235, 489, 165, 121 |
| 5 | 235, 163, 55, 121 |
| 11 | 47, 163, 11, 121 |
| 47, 163, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 47 x 163 x 1 x 11 = 27809430
Therefore, the lowest common multiple of 470,978,330,242 is 27809430.
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.
470 x 978 x 330 x 242 = 36708447600
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
978 : 1, 2, 3, 6, 163, 326, 489, 978
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
242 : 1, 2, 11, 22, 121, 242
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,978,330,242, is 2.
Now, the common factors can be found like this.
470:2x 5x 47
978:2x 3x 163
330:2x 3x 5x 11
242:2x 11x 11
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 3x 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 36708447600/(2x660)
LCM = 36708447600/1320
LCM = 27809430
Thus, we can understand that the LCM of 470,978,330,242 is 27809430.
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FAQs on LCM of 470, 978, 330, 242
1. What is the LCM of 470, 978, 330, 242?
Answer: LCM of 470, 978, 330, 242 is 27809430.
2. How to calculate the LCM of 470, 978, 330, 242?
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 470, 978, 330, 242.
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}.