LCM of 471, 574, 978, 235
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 574, 978, 235 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 471, 574, 978, 235. So, keep reading to learn more.
Given numbers are 471,574,978,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,574,978,235 is 10355909970.
Find LCM of 471,574,978,235 with Prime Factorization
| 2 | 471, 574, 978, 235 |
| 3 | 471, 287, 489, 235 |
| 157, 287, 163, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 287 x 163 x 235 = 10355909970
Therefore, the lowest common multiple of 471,574,978,235 is 10355909970.
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.
471 x 574 x 978 x 235 = 62135459820
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.
471 : 1, 3, 157, 471
574 : 1, 2, 7, 14, 41, 82, 287, 574
978 : 1, 2, 3, 6, 163, 326, 489, 978
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,574,978,235, is 1.
Now, the common factors can be found like this.
471:3x 157
574:2x 7x 41
978:2x 3x 163
235:5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 62135459820/(1x6)
LCM = 62135459820/6
LCM = 10355909970
Thus, we can understand that the LCM of 471,574,978,235 is 10355909970.
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FAQs on LCM of 471, 574, 978, 235
1. What is the LCM of 471, 574, 978, 235?
Answer: LCM of 471, 574, 978, 235 is 10355909970.
2. How to calculate the LCM of 471, 574, 978, 235?
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 471, 574, 978, 235.
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}.