LCM of 648, 911, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 648, 911, 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 648, 911, 978. So, keep reading to learn more.
Given numbers are 648,911,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 648,911,978 is 96223464.
Find LCM of 648,911,978 with Prime Factorization
| 2 | 648, 911, 978 |
| 3 | 324, 911, 489 |
| 108, 911, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 108 x 911 x 163 = 96223464
Therefore, the lowest common multiple of 648,911,978 is 96223464.
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.
648 x 911 x 978 = 577340784
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.
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
911 : 1, 911
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 648,911,978, is 1.
Now, the common factors can be found like this.
648:2x 2x 2x 3x 3x 3x 3
911:911
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 = 577340784/(1x6)
LCM = 577340784/6
LCM = 96223464
Thus, we can understand that the LCM of 648,911,978 is 96223464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 648, 911, 978
1. What is the LCM of 648, 911, 978?
Answer: LCM of 648, 911, 978 is 96223464.
2. How to calculate the LCM of 648, 911, 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 648, 911, 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}.