LCM of 546, 838, 646, 663, 444
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 838, 646, 663, 444 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 546, 838, 646, 663, 444. So, keep reading to learn more.
Given numbers are 546,838,646,663,444
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,838,646,663,444 is 5468156148.
Find LCM of 546,838,646,663,444 with Prime Factorization
| 2 | 546, 838, 646, 663, 444 |
| 3 | 273, 419, 323, 663, 222 |
| 13 | 91, 419, 323, 221, 74 |
| 17 | 7, 419, 323, 17, 74 |
| 7, 419, 19, 1, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 7 x 419 x 19 x 1 x 74 = 5468156148
Therefore, the lowest common multiple of 546,838,646,663,444 is 5468156148.
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.
546 x 838 x 646 x 663 x 444 = 87009300626976
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
838 : 1, 2, 419, 838
646 : 1, 2, 17, 19, 34, 38, 323, 646
663 : 1, 3, 13, 17, 39, 51, 221, 663
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,838,646,663,444, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
838:2x 419
646:2x 17x 19
663:3x 13x 17
444:2x 2x 3x 37
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 2x 3x 3x 13x 17 = 15912
Therefore, the value for common factors is 15912.
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 = 87009300626976/(1x15912)
LCM = 87009300626976/15912
LCM = 5468156148
Thus, we can understand that the LCM of 546,838,646,663,444 is 5468156148.
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FAQs on LCM of 546, 838, 646, 663, 444
1. What is the LCM of 546, 838, 646, 663, 444?
Answer: LCM of 546, 838, 646, 663, 444 is 5468156148.
2. How to calculate the LCM of 546, 838, 646, 663, 444?
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 546, 838, 646, 663, 444.
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}.