LCM of 686, 922, 624, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 922, 624, 160 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 686, 922, 624, 160. So, keep reading to learn more.
Given numbers are 686,922,624,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,922,624,160 is 986687520.
Find LCM of 686,922,624,160 with Prime Factorization
| 2 | 686, 922, 624, 160 |
| 2 | 343, 461, 312, 80 |
| 2 | 343, 461, 156, 40 |
| 2 | 343, 461, 78, 20 |
| 343, 461, 39, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 343 x 461 x 39 x 10 = 986687520
Therefore, the lowest common multiple of 686,922,624,160 is 986687520.
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.
686 x 922 x 624 x 160 = 63148001280
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
922 : 1, 2, 461, 922
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,922,624,160, is 2.
Now, the common factors can be found like this.
686:2x 7x 7x 7
922:2x 461
624:2x 2x 2x 2x 3x 13
160:2x 2x 2x 2x 2x 5
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 2 = 32
Therefore, the value for common factors is 32.
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 = 63148001280/(2x32)
LCM = 63148001280/64
LCM = 986687520
Thus, we can understand that the LCM of 686,922,624,160 is 986687520.
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FAQs on LCM of 686, 922, 624, 160
1. What is the LCM of 686, 922, 624, 160?
Answer: LCM of 686, 922, 624, 160 is 986687520.
2. How to calculate the LCM of 686, 922, 624, 160?
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 686, 922, 624, 160.
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}.