LCM of 269, 978, 627, 400, 847
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 978, 627, 400, 847 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 269, 978, 627, 400, 847. So, keep reading to learn more.
Given numbers are 269,978,627,400,847
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,978,627,400,847 is 846755725200.
Find LCM of 269,978,627,400,847 with Prime Factorization
| 2 | 269, 978, 627, 400, 847 |
| 3 | 269, 489, 627, 200, 847 |
| 11 | 269, 163, 209, 200, 847 |
| 269, 163, 19, 200, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 269 x 163 x 19 x 200 x 77 = 846755725200
Therefore, the lowest common multiple of 269,978,627,400,847 is 846755725200.
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.
269 x 978 x 627 x 400 x 847 = 55885877863200
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.
269 : 1, 269
978 : 1, 2, 3, 6, 163, 326, 489, 978
627 : 1, 3, 11, 19, 33, 57, 209, 627
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
847 : 1, 7, 11, 77, 121, 847
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,978,627,400,847, is 1.
Now, the common factors can be found like this.
269:269
978:2x 3x 163
627:3x 11x 19
400:2x 2x 2x 2x 5x 5
847:7x 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 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 55885877863200/(1x66)
LCM = 55885877863200/66
LCM = 846755725200
Thus, we can understand that the LCM of 269,978,627,400,847 is 846755725200.
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FAQs on LCM of 269, 978, 627, 400, 847
1. What is the LCM of 269, 978, 627, 400, 847?
Answer: LCM of 269, 978, 627, 400, 847 is 846755725200.
2. How to calculate the LCM of 269, 978, 627, 400, 847?
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 269, 978, 627, 400, 847.
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}.