LCM of 436, 253, 484, 589, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 253, 484, 589, 682 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 436, 253, 484, 589, 682. So, keep reading to learn more.
Given numbers are 436,253,484,589,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,253,484,589,682 is 714685532.
Find LCM of 436,253,484,589,682 with Prime Factorization
| 2 | 436, 253, 484, 589, 682 |
| 2 | 218, 253, 242, 589, 341 |
| 11 | 109, 253, 121, 589, 341 |
| 31 | 109, 23, 11, 589, 31 |
| 109, 23, 11, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 31 x 109 x 23 x 11 x 19 x 1 = 714685532
Therefore, the lowest common multiple of 436,253,484,589,682 is 714685532.
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.
436 x 253 x 484 x 589 x 682 = 21446283444256
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.
436 : 1, 2, 4, 109, 218, 436
253 : 1, 11, 23, 253
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
589 : 1, 19, 31, 589
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,253,484,589,682, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
253:11x 23
484:2x 2x 11x 11
589:19x 31
682:2x 11x 31
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 11x 11x 31 = 30008
Therefore, the value for common factors is 30008.
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 = 21446283444256/(1x30008)
LCM = 21446283444256/30008
LCM = 714685532
Thus, we can understand that the LCM of 436,253,484,589,682 is 714685532.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 436, 253, 484, 589, 682
1. What is the LCM of 436, 253, 484, 589, 682?
Answer: LCM of 436, 253, 484, 589, 682 is 714685532.
2. How to calculate the LCM of 436, 253, 484, 589, 682?
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 436, 253, 484, 589, 682.
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}.