LCM of 624, 168, 273, 100, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 168, 273, 100, 686 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 624, 168, 273, 100, 686. So, keep reading to learn more.
Given numbers are 624,168,273,100,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,168,273,100,686 is 5350800.
Find LCM of 624,168,273,100,686 with Prime Factorization
| 2 | 624, 168, 273, 100, 686 |
| 2 | 312, 84, 273, 50, 343 |
| 2 | 156, 42, 273, 25, 343 |
| 3 | 78, 21, 273, 25, 343 |
| 7 | 26, 7, 91, 25, 343 |
| 13 | 26, 1, 13, 25, 49 |
| 2, 1, 1, 25, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 13 x 2 x 1 x 1 x 25 x 49 = 5350800
Therefore, the lowest common multiple of 624,168,273,100,686 is 5350800.
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.
624 x 168 x 273 x 100 x 686 = 1963272729600
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
273 : 1, 3, 7, 13, 21, 39, 91, 273
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,168,273,100,686, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
168:2x 2x 2x 3x 7
273:3x 7x 13
100:2x 2x 5x 5
686:2x 7x 7x 7
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 3x 3x 7x 7x 13 = 366912
Therefore, the value for common factors is 366912.
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 = 1963272729600/(1x366912)
LCM = 1963272729600/366912
LCM = 5350800
Thus, we can understand that the LCM of 624,168,273,100,686 is 5350800.
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FAQs on LCM of 624, 168, 273, 100, 686
1. What is the LCM of 624, 168, 273, 100, 686?
Answer: LCM of 624, 168, 273, 100, 686 is 5350800.
2. How to calculate the LCM of 624, 168, 273, 100, 686?
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 624, 168, 273, 100, 686.
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}.