LCM of 781, 978, 201, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 978, 201, 864 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 781, 978, 201, 864. So, keep reading to learn more.
Given numbers are 781,978,201,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,978,201,864 is 7369316064.
Find LCM of 781,978,201,864 with Prime Factorization
| 2 | 781, 978, 201, 864 |
| 3 | 781, 489, 201, 432 |
| 781, 163, 67, 144 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 781 x 163 x 67 x 144 = 7369316064
Therefore, the lowest common multiple of 781,978,201,864 is 7369316064.
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.
781 x 978 x 201 x 864 = 132647689152
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.
781 : 1, 11, 71, 781
978 : 1, 2, 3, 6, 163, 326, 489, 978
201 : 1, 3, 67, 201
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,978,201,864, is 1.
Now, the common factors can be found like this.
781:11x 71
978:2x 3x 163
201:3x 67
864:2x 2x 2x 2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 132647689152/(1x18)
LCM = 132647689152/18
LCM = 7369316064
Thus, we can understand that the LCM of 781,978,201,864 is 7369316064.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 978, 201, 864
1. What is the LCM of 781, 978, 201, 864?
Answer: LCM of 781, 978, 201, 864 is 7369316064.
2. How to calculate the LCM of 781, 978, 201, 864?
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 781, 978, 201, 864.
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}.