LCM of 684, 716, 200, 922, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 716, 200, 922, 728 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 684, 716, 200, 922, 728. So, keep reading to learn more.
Given numbers are 684,716,200,922,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,716,200,922,728 is 256815631800.
Find LCM of 684,716,200,922,728 with Prime Factorization
| 2 | 684, 716, 200, 922, 728 |
| 2 | 342, 358, 100, 461, 364 |
| 2 | 171, 179, 50, 461, 182 |
| 171, 179, 25, 461, 91 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 171 x 179 x 25 x 461 x 91 = 256815631800
Therefore, the lowest common multiple of 684,716,200,922,728 is 256815631800.
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.
684 x 716 x 200 x 922 x 728 = 65744801740800
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
716 : 1, 2, 4, 179, 358, 716
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
922 : 1, 2, 461, 922
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,716,200,922,728, is 2.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
716:2x 2x 179
200:2x 2x 2x 5x 5
922:2x 461
728:2x 2x 2x 7x 13
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 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 65744801740800/(2x128)
LCM = 65744801740800/256
LCM = 256815631800
Thus, we can understand that the LCM of 684,716,200,922,728 is 256815631800.
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FAQs on LCM of 684, 716, 200, 922, 728
1. What is the LCM of 684, 716, 200, 922, 728?
Answer: LCM of 684, 716, 200, 922, 728 is 256815631800.
2. How to calculate the LCM of 684, 716, 200, 922, 728?
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 684, 716, 200, 922, 728.
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}.