LCM of 309, 169, 676, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 169, 676, 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 309, 169, 676, 546. So, keep reading to learn more.
Given numbers are 309,169,676,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,169,676,546 is 1462188.
Find LCM of 309,169,676,546 with Prime Factorization
| 2 | 309, 169, 676, 546 |
| 3 | 309, 169, 338, 273 |
| 13 | 103, 169, 338, 91 |
| 13 | 103, 13, 26, 7 |
| 103, 1, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 103 x 1 x 2 x 7 = 1462188
Therefore, the lowest common multiple of 309,169,676,546 is 1462188.
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.
309 x 169 x 676 x 546 = 19274562216
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.
309 : 1, 3, 103, 309
169 : 1, 13, 169
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
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 309,169,676,546, is 1.
Now, the common factors can be found like this.
309:3x 103
169:13x 13
676:2x 2x 13x 13
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 3x 13x 13x 13 = 13182
Therefore, the value for common factors is 13182.
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 = 19274562216/(1x13182)
LCM = 19274562216/13182
LCM = 1462188
Thus, we can understand that the LCM of 309,169,676,546 is 1462188.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 169, 676, 546
1. What is the LCM of 309, 169, 676, 546?
Answer: LCM of 309, 169, 676, 546 is 1462188.
2. How to calculate the LCM of 309, 169, 676, 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 309, 169, 676, 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}.