LCM of 689, 604, 676, 388, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 604, 676, 388, 528 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 689, 604, 676, 388, 528. So, keep reading to learn more.
Given numbers are 689,604,676,388,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,604,676,388,528 is 69269998512.
Find LCM of 689,604,676,388,528 with Prime Factorization
| 2 | 689, 604, 676, 388, 528 |
| 2 | 689, 302, 338, 194, 264 |
| 13 | 689, 151, 169, 97, 132 |
| 53, 151, 13, 97, 132 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 151 x 13 x 97 x 132 = 69269998512
Therefore, the lowest common multiple of 689,604,676,388,528 is 69269998512.
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.
689 x 604 x 676 x 388 x 528 = 57632638761984
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.
689 : 1, 13, 53, 689
604 : 1, 2, 4, 151, 302, 604
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
388 : 1, 2, 4, 97, 194, 388
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,604,676,388,528, is 1.
Now, the common factors can be found like this.
689:13x 53
604:2x 2x 151
676:2x 2x 13x 13
388:2x 2x 97
528:2x 2x 2x 2x 3x 11
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 2x 2x 2x 13 = 832
Therefore, the value for common factors is 832.
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 = 57632638761984/(1x832)
LCM = 57632638761984/832
LCM = 69269998512
Thus, we can understand that the LCM of 689,604,676,388,528 is 69269998512.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 689, 604, 676, 388, 528
1. What is the LCM of 689, 604, 676, 388, 528?
Answer: LCM of 689, 604, 676, 388, 528 is 69269998512.
2. How to calculate the LCM of 689, 604, 676, 388, 528?
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 689, 604, 676, 388, 528.
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}.