LCM of 508, 702, 424, 689
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 702, 424, 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 508, 702, 424, 689. So, keep reading to learn more.
Given numbers are 508,702,424,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,702,424,689 is 18900648.
Find LCM of 508,702,424,689 with Prime Factorization
| 2 | 508, 702, 424, 689 |
| 2 | 254, 351, 212, 689 |
| 13 | 127, 351, 106, 689 |
| 53 | 127, 27, 106, 53 |
| 127, 27, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 53 x 127 x 27 x 2 x 1 = 18900648
Therefore, the lowest common multiple of 508,702,424,689 is 18900648.
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.
508 x 702 x 424 x 689 = 104180371776
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.
508 : 1, 2, 4, 127, 254, 508
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
424 : 1, 2, 4, 8, 53, 106, 212, 424
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,702,424,689, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
702:2x 3x 3x 3x 13
424:2x 2x 2x 53
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 2x 2x 13x 53 = 5512
Therefore, the value for common factors is 5512.
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 = 104180371776/(1x5512)
LCM = 104180371776/5512
LCM = 18900648
Thus, we can understand that the LCM of 508,702,424,689 is 18900648.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 702, 424, 689
1. What is the LCM of 508, 702, 424, 689?
Answer: LCM of 508, 702, 424, 689 is 18900648.
2. How to calculate the LCM of 508, 702, 424, 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 508, 702, 424, 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}.