LCM of 740, 782, 543, 391, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 740, 782, 543, 391, 365 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 740, 782, 543, 391, 365. So, keep reading to learn more.
Given numbers are 740,782,543,391,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 740,782,543,391,365 is 11469148260.
Find LCM of 740,782,543,391,365 with Prime Factorization
| 2 | 740, 782, 543, 391, 365 |
| 5 | 370, 391, 543, 391, 365 |
| 17 | 74, 391, 543, 391, 73 |
| 23 | 74, 23, 543, 23, 73 |
| 74, 1, 543, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 23 x 74 x 1 x 543 x 1 x 73 = 11469148260
Therefore, the lowest common multiple of 740,782,543,391,365 is 11469148260.
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.
740 x 782 x 543 x 391 x 365 = 44844369696600
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.
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
782 : 1, 2, 17, 23, 34, 46, 391, 782
543 : 1, 3, 181, 543
391 : 1, 17, 23, 391
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,782,543,391,365, is 1.
Now, the common factors can be found like this.
740:2x 2x 5x 37
782:2x 17x 23
543:3x 181
391:17x 23
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 23 = 3910
Therefore, the value for common factors is 3910.
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 = 44844369696600/(1x3910)
LCM = 44844369696600/3910
LCM = 11469148260
Thus, we can understand that the LCM of 740,782,543,391,365 is 11469148260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 740, 782, 543, 391, 365
1. What is the LCM of 740, 782, 543, 391, 365?
Answer: LCM of 740, 782, 543, 391, 365 is 11469148260.
2. How to calculate the LCM of 740, 782, 543, 391, 365?
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 740, 782, 543, 391, 365.
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}.