LCM of 741, 546, 285, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 546, 285, 219 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 741, 546, 285, 219. So, keep reading to learn more.
Given numbers are 741,546,285,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,546,285,219 is 3786510.
Find LCM of 741,546,285,219 with Prime Factorization
| 3 | 741, 546, 285, 219 |
| 13 | 247, 182, 95, 73 |
| 19 | 19, 14, 95, 73 |
| 1, 14, 5, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 19 x 1 x 14 x 5 x 73 = 3786510
Therefore, the lowest common multiple of 741,546,285,219 is 3786510.
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.
741 x 546 x 285 x 219 = 25252235190
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
285 : 1, 3, 5, 15, 19, 57, 95, 285
219 : 1, 3, 73, 219
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,546,285,219, is 3.
Now, the common factors can be found like this.
741:3x 13x 19
546:2x 3x 7x 13
285:3x 5x 19
219:3x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13x 19 = 2223
Therefore, the value for common factors is 2223.
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 = 25252235190/(3x2223)
LCM = 25252235190/6669
LCM = 3786510
Thus, we can understand that the LCM of 741,546,285,219 is 3786510.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 546, 285, 219
1. What is the LCM of 741, 546, 285, 219?
Answer: LCM of 741, 546, 285, 219 is 3786510.
2. How to calculate the LCM of 741, 546, 285, 219?
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 741, 546, 285, 219.
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}.