LCM of 800, 916, 702, 711, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 916, 702, 711, 668 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 800, 916, 702, 711, 668. So, keep reading to learn more.
Given numbers are 800,916,702,711,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,916,702,711,668 is 848352117600.
Find LCM of 800,916,702,711,668 with Prime Factorization
| 2 | 800, 916, 702, 711, 668 |
| 2 | 400, 458, 351, 711, 334 |
| 3 | 200, 229, 351, 711, 167 |
| 3 | 200, 229, 117, 237, 167 |
| 200, 229, 39, 79, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 200 x 229 x 39 x 79 x 167 = 848352117600
Therefore, the lowest common multiple of 800,916,702,711,668 is 848352117600.
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.
800 x 916 x 702 x 711 x 668 = 244325409868800
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
916 : 1, 2, 4, 229, 458, 916
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
711 : 1, 3, 9, 79, 237, 711
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,916,702,711,668, is 1.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
916:2x 2x 229
702:2x 3x 3x 3x 13
711:3x 3x 79
668:2x 2x 167
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 244325409868800/(1x288)
LCM = 244325409868800/288
LCM = 848352117600
Thus, we can understand that the LCM of 800,916,702,711,668 is 848352117600.
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FAQs on LCM of 800, 916, 702, 711, 668
1. What is the LCM of 800, 916, 702, 711, 668?
Answer: LCM of 800, 916, 702, 711, 668 is 848352117600.
2. How to calculate the LCM of 800, 916, 702, 711, 668?
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 800, 916, 702, 711, 668.
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}.