LCM of 532, 846, 986, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 532, 846, 986, 684 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 532, 846, 986, 684. So, keep reading to learn more.
Given numbers are 532,846,986,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 532,846,986,684 is 110942748.
Find LCM of 532,846,986,684 with Prime Factorization
| 2 | 532, 846, 986, 684 |
| 2 | 266, 423, 493, 342 |
| 3 | 133, 423, 493, 171 |
| 3 | 133, 141, 493, 57 |
| 19 | 133, 47, 493, 19 |
| 7, 47, 493, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 7 x 47 x 493 x 1 = 110942748
Therefore, the lowest common multiple of 532,846,986,684 is 110942748.
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.
532 x 846 x 986 x 684 = 303539358528
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.
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
986 : 1, 2, 17, 29, 34, 58, 493, 986
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 532,846,986,684, is 2.
Now, the common factors can be found like this.
532:2x 2x 7x 19
846:2x 3x 3x 47
986:2x 17x 29
684:2x 2x 3x 3x 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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 303539358528/(2x1368)
LCM = 303539358528/2736
LCM = 110942748
Thus, we can understand that the LCM of 532,846,986,684 is 110942748.
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FAQs on LCM of 532, 846, 986, 684
1. What is the LCM of 532, 846, 986, 684?
Answer: LCM of 532, 846, 986, 684 is 110942748.
2. How to calculate the LCM of 532, 846, 986, 684?
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 532, 846, 986, 684.
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}.