LCM of 628, 724, 741, 579, 538
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 724, 741, 579, 538 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 628, 724, 741, 579, 538. So, keep reading to learn more.
Given numbers are 628,724,741,579,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,724,741,579,538 is 4372864452996.
Find LCM of 628,724,741,579,538 with Prime Factorization
| 2 | 628, 724, 741, 579, 538 |
| 2 | 314, 362, 741, 579, 269 |
| 3 | 157, 181, 741, 579, 269 |
| 157, 181, 247, 193, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 157 x 181 x 247 x 193 x 269 = 4372864452996
Therefore, the lowest common multiple of 628,724,741,579,538 is 4372864452996.
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.
628 x 724 x 741 x 579 x 538 = 104948746871904
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.
628 : 1, 2, 4, 157, 314, 628
724 : 1, 2, 4, 181, 362, 724
741 : 1, 3, 13, 19, 39, 57, 247, 741
579 : 1, 3, 193, 579
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,724,741,579,538, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
724:2x 2x 181
741:3x 13x 19
579:3x 193
538:2x 269
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 3 = 24
Therefore, the value for common factors is 24.
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 = 104948746871904/(1x24)
LCM = 104948746871904/24
LCM = 4372864452996
Thus, we can understand that the LCM of 628,724,741,579,538 is 4372864452996.
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FAQs on LCM of 628, 724, 741, 579, 538
1. What is the LCM of 628, 724, 741, 579, 538?
Answer: LCM of 628, 724, 741, 579, 538 is 4372864452996.
2. How to calculate the LCM of 628, 724, 741, 579, 538?
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 628, 724, 741, 579, 538.
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}.