LCM of 724, 106, 195, 273, 240
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 106, 195, 273, 240 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 724, 106, 195, 273, 240. So, keep reading to learn more.
Given numbers are 724,106,195,273,240
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,106,195,273,240 is 209511120.
Find LCM of 724,106,195,273,240 with Prime Factorization
| 2 | 724, 106, 195, 273, 240 |
| 2 | 362, 53, 195, 273, 120 |
| 3 | 181, 53, 195, 273, 60 |
| 5 | 181, 53, 65, 91, 20 |
| 13 | 181, 53, 13, 91, 4 |
| 181, 53, 1, 7, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 181 x 53 x 1 x 7 x 4 = 209511120
Therefore, the lowest common multiple of 724,106,195,273,240 is 209511120.
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.
724 x 106 x 195 x 273 x 240 = 980512041600
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.
724 : 1, 2, 4, 181, 362, 724
106 : 1, 2, 53, 106
195 : 1, 3, 5, 13, 15, 39, 65, 195
273 : 1, 3, 7, 13, 21, 39, 91, 273
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,106,195,273,240, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
106:2x 53
195:3x 5x 13
273:3x 7x 13
240:2x 2x 2x 2x 3x 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 3x 3x 5x 13 = 4680
Therefore, the value for common factors is 4680.
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 = 980512041600/(1x4680)
LCM = 980512041600/4680
LCM = 209511120
Thus, we can understand that the LCM of 724,106,195,273,240 is 209511120.
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FAQs on LCM of 724, 106, 195, 273, 240
1. What is the LCM of 724, 106, 195, 273, 240?
Answer: LCM of 724, 106, 195, 273, 240 is 209511120.
2. How to calculate the LCM of 724, 106, 195, 273, 240?
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 724, 106, 195, 273, 240.
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}.