LCM of 689, 626, 465, 620, 760
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 626, 465, 620, 760 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, 626, 465, 620, 760. So, keep reading to learn more.
Given numbers are 689,626,465,620,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,626,465,620,760 is 15242636760.
Find LCM of 689,626,465,620,760 with Prime Factorization
| 2 | 689, 626, 465, 620, 760 |
| 2 | 689, 313, 465, 310, 380 |
| 5 | 689, 313, 465, 155, 190 |
| 31 | 689, 313, 93, 31, 38 |
| 689, 313, 3, 1, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 31 x 689 x 313 x 3 x 1 x 38 = 15242636760
Therefore, the lowest common multiple of 689,626,465,620,760 is 15242636760.
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 626 x 465 x 620 x 760 = 94504347912000
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
626 : 1, 2, 313, 626
465 : 1, 3, 5, 15, 31, 93, 155, 465
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,626,465,620,760, is 1.
Now, the common factors can be found like this.
689:13x 53
626:2x 313
465:3x 5x 31
620:2x 2x 5x 31
760:2x 2x 2x 5x 19
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 5x 5x 31 = 6200
Therefore, the value for common factors is 6200.
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 = 94504347912000/(1x6200)
LCM = 94504347912000/6200
LCM = 15242636760
Thus, we can understand that the LCM of 689,626,465,620,760 is 15242636760.
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FAQs on LCM of 689, 626, 465, 620, 760
1. What is the LCM of 689, 626, 465, 620, 760?
Answer: LCM of 689, 626, 465, 620, 760 is 15242636760.
2. How to calculate the LCM of 689, 626, 465, 620, 760?
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, 626, 465, 620, 760.
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}.