LCM of 478, 599, 975, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 599, 975, 978 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 478, 599, 975, 978. So, keep reading to learn more.
Given numbers are 478,599,975,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,599,975,978 is 45503723850.
Find LCM of 478,599,975,978 with Prime Factorization
| 2 | 478, 599, 975, 978 |
| 3 | 239, 599, 975, 489 |
| 239, 599, 325, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 239 x 599 x 325 x 163 = 45503723850
Therefore, the lowest common multiple of 478,599,975,978 is 45503723850.
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.
478 x 599 x 975 x 978 = 273022343100
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.
478 : 1, 2, 239, 478
599 : 1, 599
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,599,975,978, is 1.
Now, the common factors can be found like this.
478:2x 239
599:599
975:3x 5x 5x 13
978:2x 3x 163
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 = 273022343100/(1x6)
LCM = 273022343100/6
LCM = 45503723850
Thus, we can understand that the LCM of 478,599,975,978 is 45503723850.
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FAQs on LCM of 478, 599, 975, 978
1. What is the LCM of 478, 599, 975, 978?
Answer: LCM of 478, 599, 975, 978 is 45503723850.
2. How to calculate the LCM of 478, 599, 975, 978?
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 478, 599, 975, 978.
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}.