LCM of 546, 676, 822, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 676, 822, 322 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, 676, 822, 322. So, keep reading to learn more.
Given numbers are 546,676,822,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,676,822,322 is 44731596.
Find LCM of 546,676,822,322 with Prime Factorization
| 2 | 546, 676, 822, 322 |
| 3 | 273, 338, 411, 161 |
| 7 | 91, 338, 137, 161 |
| 13 | 13, 338, 137, 23 |
| 1, 26, 137, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 1 x 26 x 137 x 23 = 44731596
Therefore, the lowest common multiple of 546,676,822,322 is 44731596.
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 676 x 822 x 322 = 97693805664
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
822 : 1, 2, 3, 6, 137, 274, 411, 822
322 : 1, 2, 7, 14, 23, 46, 161, 322
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,676,822,322, is 2.
Now, the common factors can be found like this.
546:2x 3x 7x 13
676:2x 2x 13x 13
822:2x 3x 137
322:2x 7x 23
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 7x 13 = 1092
Therefore, the value for common factors is 1092.
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 = 97693805664/(2x1092)
LCM = 97693805664/2184
LCM = 44731596
Thus, we can understand that the LCM of 546,676,822,322 is 44731596.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 546, 676, 822, 322
1. What is the LCM of 546, 676, 822, 322?
Answer: LCM of 546, 676, 822, 322 is 44731596.
2. How to calculate the LCM of 546, 676, 822, 322?
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, 676, 822, 322.
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}.