LCM of 914, 536, 866, 824, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 536, 866, 824, 220 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 914, 536, 866, 824, 220. So, keep reading to learn more.
Given numbers are 914,536,866,824,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,536,866,824,220 is 600853783640.
Find LCM of 914,536,866,824,220 with Prime Factorization
| 2 | 914, 536, 866, 824, 220 |
| 2 | 457, 268, 433, 412, 110 |
| 2 | 457, 134, 433, 206, 55 |
| 457, 67, 433, 103, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 457 x 67 x 433 x 103 x 55 = 600853783640
Therefore, the lowest common multiple of 914,536,866,824,220 is 600853783640.
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.
914 x 536 x 866 x 824 x 220 = 76909284305920
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.
914 : 1, 2, 457, 914
536 : 1, 2, 4, 8, 67, 134, 268, 536
866 : 1, 2, 433, 866
824 : 1, 2, 4, 8, 103, 206, 412, 824
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,536,866,824,220, is 2.
Now, the common factors can be found like this.
914:2x 457
536:2x 2x 2x 67
866:2x 433
824:2x 2x 2x 103
220:2x 2x 5x 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 2x 2x 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 76909284305920/(2x64)
LCM = 76909284305920/128
LCM = 600853783640
Thus, we can understand that the LCM of 914,536,866,824,220 is 600853783640.
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FAQs on LCM of 914, 536, 866, 824, 220
1. What is the LCM of 914, 536, 866, 824, 220?
Answer: LCM of 914, 536, 866, 824, 220 is 600853783640.
2. How to calculate the LCM of 914, 536, 866, 824, 220?
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 914, 536, 866, 824, 220.
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}.