LCM of 531, 546, 638, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 531, 546, 638, 306 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 531, 546, 638, 306. So, keep reading to learn more.
Given numbers are 531,546,638,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,546,638,306 is 524089566.
Find LCM of 531,546,638,306 with Prime Factorization
| 2 | 531, 546, 638, 306 |
| 3 | 531, 273, 319, 153 |
| 3 | 177, 91, 319, 51 |
| 59, 91, 319, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 59 x 91 x 319 x 17 = 524089566
Therefore, the lowest common multiple of 531,546,638,306 is 524089566.
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.
531 x 546 x 638 x 306 = 56601673128
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.
531 : 1, 3, 9, 59, 177, 531
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
638 : 1, 2, 11, 22, 29, 58, 319, 638
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,546,638,306, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
546:2x 3x 7x 13
638:2x 11x 29
306:2x 3x 3x 17
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 56601673128/(1x108)
LCM = 56601673128/108
LCM = 524089566
Thus, we can understand that the LCM of 531,546,638,306 is 524089566.
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FAQs on LCM of 531, 546, 638, 306
1. What is the LCM of 531, 546, 638, 306?
Answer: LCM of 531, 546, 638, 306 is 524089566.
2. How to calculate the LCM of 531, 546, 638, 306?
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 531, 546, 638, 306.
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}.