LCM of 745, 845, 770, 840, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 845, 770, 840, 543 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 745, 845, 770, 840, 543. So, keep reading to learn more.
Given numbers are 745,845,770,840,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,845,770,840,543 is 42113711640.
Find LCM of 745,845,770,840,543 with Prime Factorization
| 2 | 745, 845, 770, 840, 543 |
| 3 | 745, 845, 385, 420, 543 |
| 5 | 745, 845, 385, 140, 181 |
| 7 | 149, 169, 77, 28, 181 |
| 149, 169, 11, 4, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 149 x 169 x 11 x 4 x 181 = 42113711640
Therefore, the lowest common multiple of 745,845,770,840,543 is 42113711640.
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.
745 x 845 x 770 x 840 x 543 = 221096986110000
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.
745 : 1, 5, 149, 745
845 : 1, 5, 13, 65, 169, 845
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,845,770,840,543, is 1.
Now, the common factors can be found like this.
745:5x 149
845:5x 13x 13
770:2x 5x 7x 11
840:2x 2x 2x 3x 5x 7
543:3x 181
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 5x 5x 5x 7 = 5250
Therefore, the value for common factors is 5250.
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 = 221096986110000/(1x5250)
LCM = 221096986110000/5250
LCM = 42113711640
Thus, we can understand that the LCM of 745,845,770,840,543 is 42113711640.
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FAQs on LCM of 745, 845, 770, 840, 543
1. What is the LCM of 745, 845, 770, 840, 543?
Answer: LCM of 745, 845, 770, 840, 543 is 42113711640.
2. How to calculate the LCM of 745, 845, 770, 840, 543?
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 745, 845, 770, 840, 543.
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}.