LCM of 689, 298, 795, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 298, 795, 252 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, 298, 795, 252. So, keep reading to learn more.
Given numbers are 689,298,795,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,298,795,252 is 129352860.
Find LCM of 689,298,795,252 with Prime Factorization
| 2 | 689, 298, 795, 252 |
| 3 | 689, 149, 795, 126 |
| 53 | 689, 149, 265, 42 |
| 13, 149, 5, 42 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 13 x 149 x 5 x 42 = 129352860
Therefore, the lowest common multiple of 689,298,795,252 is 129352860.
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 298 x 795 x 252 = 41134209480
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
298 : 1, 2, 149, 298
795 : 1, 3, 5, 15, 53, 159, 265, 795
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,298,795,252, is 1.
Now, the common factors can be found like this.
689:13x 53
298:2x 149
795:3x 5x 53
252:2x 2x 3x 3x 7
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 53 = 318
Therefore, the value for common factors is 318.
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 = 41134209480/(1x318)
LCM = 41134209480/318
LCM = 129352860
Thus, we can understand that the LCM of 689,298,795,252 is 129352860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 298, 795, 252
1. What is the LCM of 689, 298, 795, 252?
Answer: LCM of 689, 298, 795, 252 is 129352860.
2. How to calculate the LCM of 689, 298, 795, 252?
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, 298, 795, 252.
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}.