LCM of 546, 644, 222, 564, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 644, 222, 564, 105 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, 644, 222, 564, 105. So, keep reading to learn more.
Given numbers are 546,644,222,564,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,644,222,564,105 is 218383620.
Find LCM of 546,644,222,564,105 with Prime Factorization
| 2 | 546, 644, 222, 564, 105 |
| 2 | 273, 322, 111, 282, 105 |
| 3 | 273, 161, 111, 141, 105 |
| 7 | 91, 161, 37, 47, 35 |
| 13, 23, 37, 47, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 23 x 37 x 47 x 5 = 218383620
Therefore, the lowest common multiple of 546,644,222,564,105 is 218383620.
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 644 x 222 x 564 x 105 = 4622744468160
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
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
222 : 1, 2, 3, 6, 37, 74, 111, 222
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,644,222,564,105, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
644:2x 2x 7x 23
222:2x 3x 37
564:2x 2x 3x 47
105:3x 5x 7
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 2x 3x 3x 3x 7x 7 = 21168
Therefore, the value for common factors is 21168.
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 = 4622744468160/(1x21168)
LCM = 4622744468160/21168
LCM = 218383620
Thus, we can understand that the LCM of 546,644,222,564,105 is 218383620.
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FAQs on LCM of 546, 644, 222, 564, 105
1. What is the LCM of 546, 644, 222, 564, 105?
Answer: LCM of 546, 644, 222, 564, 105 is 218383620.
2. How to calculate the LCM of 546, 644, 222, 564, 105?
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, 644, 222, 564, 105.
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}.