LCM of 845, 703, 684, 932, 542
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 703, 684, 932, 542 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 845, 703, 684, 932, 542. So, keep reading to learn more.
Given numbers are 845,703,684,932,542
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,703,684,932,542 is 1350329472180.
Find LCM of 845,703,684,932,542 with Prime Factorization
| 2 | 845, 703, 684, 932, 542 |
| 2 | 845, 703, 342, 466, 271 |
| 19 | 845, 703, 171, 233, 271 |
| 845, 37, 9, 233, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 845 x 37 x 9 x 233 x 271 = 1350329472180
Therefore, the lowest common multiple of 845,703,684,932,542 is 1350329472180.
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.
845 x 703 x 684 x 932 x 542 = 205250079771360
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.
845 : 1, 5, 13, 65, 169, 845
703 : 1, 19, 37, 703
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
932 : 1, 2, 4, 233, 466, 932
542 : 1, 2, 271, 542
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,703,684,932,542, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
703:19x 37
684:2x 2x 3x 3x 19
932:2x 2x 233
542:2x 271
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 19 = 152
Therefore, the value for common factors is 152.
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 = 205250079771360/(1x152)
LCM = 205250079771360/152
LCM = 1350329472180
Thus, we can understand that the LCM of 845,703,684,932,542 is 1350329472180.
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FAQs on LCM of 845, 703, 684, 932, 542
1. What is the LCM of 845, 703, 684, 932, 542?
Answer: LCM of 845, 703, 684, 932, 542 is 1350329472180.
2. How to calculate the LCM of 845, 703, 684, 932, 542?
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 845, 703, 684, 932, 542.
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}.