LCM of 686, 156, 321, 675, 724
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 156, 321, 675, 724 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, 156, 321, 675, 724. So, keep reading to learn more.
Given numbers are 686,156,321,675,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,156,321,675,724 is 233165123100.
Find LCM of 686,156,321,675,724 with Prime Factorization
| 2 | 686, 156, 321, 675, 724 |
| 2 | 343, 78, 321, 675, 362 |
| 3 | 343, 39, 321, 675, 181 |
| 343, 13, 107, 225, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 343 x 13 x 107 x 225 x 181 = 233165123100
Therefore, the lowest common multiple of 686,156,321,675,724 is 233165123100.
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 156 x 321 x 675 x 724 = 16787888863200
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
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
321 : 1, 3, 107, 321
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,156,321,675,724, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
156:2x 2x 3x 13
321:3x 107
675:3x 3x 3x 5x 5
724:2x 2x 181
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 16787888863200/(1x72)
LCM = 16787888863200/72
LCM = 233165123100
Thus, we can understand that the LCM of 686,156,321,675,724 is 233165123100.
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FAQs on LCM of 686, 156, 321, 675, 724
1. What is the LCM of 686, 156, 321, 675, 724?
Answer: LCM of 686, 156, 321, 675, 724 is 233165123100.
2. How to calculate the LCM of 686, 156, 321, 675, 724?
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, 156, 321, 675, 724.
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}.