LCM of 659, 528, 510, 745, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 659, 528, 510, 745, 689 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 659, 528, 510, 745, 689. So, keep reading to learn more.
Given numbers are 659,528,510,745,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 659,528,510,745,689 is 3036293523120.
Find LCM of 659,528,510,745,689 with Prime Factorization
| 2 | 659, 528, 510, 745, 689 |
| 3 | 659, 264, 255, 745, 689 |
| 5 | 659, 88, 85, 745, 689 |
| 659, 88, 17, 149, 689 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 659 x 88 x 17 x 149 x 689 = 3036293523120
Therefore, the lowest common multiple of 659,528,510,745,689 is 3036293523120.
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.
659 x 528 x 510 x 745 x 689 = 91088805693600
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.
659 : 1, 659
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
745 : 1, 5, 149, 745
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,528,510,745,689, is 1.
Now, the common factors can be found like this.
659:659
528:2x 2x 2x 2x 3x 11
510:2x 3x 5x 17
745:5x 149
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 91088805693600/(1x30)
LCM = 91088805693600/30
LCM = 3036293523120
Thus, we can understand that the LCM of 659,528,510,745,689 is 3036293523120.
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FAQs on LCM of 659, 528, 510, 745, 689
1. What is the LCM of 659, 528, 510, 745, 689?
Answer: LCM of 659, 528, 510, 745, 689 is 3036293523120.
2. How to calculate the LCM of 659, 528, 510, 745, 689?
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 659, 528, 510, 745, 689.
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}.