LCM of 265, 704, 453, 206, 572
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 265, 704, 453, 206, 572 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 265, 704, 453, 206, 572. So, keep reading to learn more.
Given numbers are 265,704,453,206,572
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,704,453,206,572 is 113161139520.
Find LCM of 265,704,453,206,572 with Prime Factorization
| 2 | 265, 704, 453, 206, 572 |
| 2 | 265, 352, 453, 103, 286 |
| 11 | 265, 176, 453, 103, 143 |
| 265, 16, 453, 103, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 265 x 16 x 453 x 103 x 13 = 113161139520
Therefore, the lowest common multiple of 265,704,453,206,572 is 113161139520.
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.
265 x 704 x 453 x 206 x 572 = 9958180277760
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.
265 : 1, 5, 53, 265
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
453 : 1, 3, 151, 453
206 : 1, 2, 103, 206
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,704,453,206,572, is 1.
Now, the common factors can be found like this.
265:5x 53
704:2x 2x 2x 2x 2x 2x 11
453:3x 151
206:2x 103
572:2x 2x 11x 13
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 11 = 88
Therefore, the value for common factors is 88.
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 = 9958180277760/(1x88)
LCM = 9958180277760/88
LCM = 113161139520
Thus, we can understand that the LCM of 265,704,453,206,572 is 113161139520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 265, 704, 453, 206, 572
1. What is the LCM of 265, 704, 453, 206, 572?
Answer: LCM of 265, 704, 453, 206, 572 is 113161139520.
2. How to calculate the LCM of 265, 704, 453, 206, 572?
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 265, 704, 453, 206, 572.
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}.