LCM of 436, 319, 418, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 319, 418, 546 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 436, 319, 418, 546. So, keep reading to learn more.
Given numbers are 436,319,418,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,319,418,546 is 721428708.
Find LCM of 436,319,418,546 with Prime Factorization
| 2 | 436, 319, 418, 546 |
| 11 | 218, 319, 209, 273 |
| 218, 29, 19, 273 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 218 x 29 x 19 x 273 = 721428708
Therefore, the lowest common multiple of 436,319,418,546 is 721428708.
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.
436 x 319 x 418 x 546 = 31742863152
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.
436 : 1, 2, 4, 109, 218, 436
319 : 1, 11, 29, 319
418 : 1, 2, 11, 19, 22, 38, 209, 418
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,319,418,546, is 1.
Now, the common factors can be found like this.
436:2x 2x 109
319:11x 29
418:2x 11x 19
546:2x 3x 7x 13
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 11 = 44
Therefore, the value for common factors is 44.
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 = 31742863152/(1x44)
LCM = 31742863152/44
LCM = 721428708
Thus, we can understand that the LCM of 436,319,418,546 is 721428708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 436, 319, 418, 546
1. What is the LCM of 436, 319, 418, 546?
Answer: LCM of 436, 319, 418, 546 is 721428708.
2. How to calculate the LCM of 436, 319, 418, 546?
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 436, 319, 418, 546.
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}.