LCM of 309, 601, 334, 616, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 601, 334, 616, 684 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, 601, 334, 616, 684. So, keep reading to learn more.
Given numbers are 309,601,334,616,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,601,334,616,684 is 1088942606136.
Find LCM of 309,601,334,616,684 with Prime Factorization
| 2 | 309, 601, 334, 616, 684 |
| 2 | 309, 601, 167, 308, 342 |
| 3 | 309, 601, 167, 154, 171 |
| 103, 601, 167, 154, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 601 x 167 x 154 x 57 = 1088942606136
Therefore, the lowest common multiple of 309,601,334,616,684 is 1088942606136.
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 601 x 334 x 616 x 684 = 26134622547264
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
601 : 1, 601
334 : 1, 2, 167, 334
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,601,334,616,684, is 1.
Now, the common factors can be found like this.
309:3x 103
601:601
334:2x 167
616:2x 2x 2x 7x 11
684:2x 2x 3x 3x 19
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 3 = 24
Therefore, the value for common factors is 24.
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 = 26134622547264/(1x24)
LCM = 26134622547264/24
LCM = 1088942606136
Thus, we can understand that the LCM of 309,601,334,616,684 is 1088942606136.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 309, 601, 334, 616, 684
1. What is the LCM of 309, 601, 334, 616, 684?
Answer: LCM of 309, 601, 334, 616, 684 is 1088942606136.
2. How to calculate the LCM of 309, 601, 334, 616, 684?
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, 601, 334, 616, 684.
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}.