LCM of 489, 442, 676, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 489, 442, 676, 714 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 489, 442, 676, 714. So, keep reading to learn more.
Given numbers are 489,442,676,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 489,442,676,714 is 39337116.
Find LCM of 489,442,676,714 with Prime Factorization
| 2 | 489, 442, 676, 714 |
| 3 | 489, 221, 338, 357 |
| 13 | 163, 221, 338, 119 |
| 17 | 163, 17, 26, 119 |
| 163, 1, 26, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 163 x 1 x 26 x 7 = 39337116
Therefore, the lowest common multiple of 489,442,676,714 is 39337116.
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.
489 x 442 x 676 x 714 = 104322031632
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.
489 : 1, 3, 163, 489
442 : 1, 2, 13, 17, 26, 34, 221, 442
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 489,442,676,714, is 1.
Now, the common factors can be found like this.
489:3x 163
442:2x 13x 17
676:2x 2x 13x 13
714:2x 3x 7x 17
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 3x 13x 17 = 2652
Therefore, the value for common factors is 2652.
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 = 104322031632/(1x2652)
LCM = 104322031632/2652
LCM = 39337116
Thus, we can understand that the LCM of 489,442,676,714 is 39337116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 489, 442, 676, 714
1. What is the LCM of 489, 442, 676, 714?
Answer: LCM of 489, 442, 676, 714 is 39337116.
2. How to calculate the LCM of 489, 442, 676, 714?
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 489, 442, 676, 714.
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}.