LCM of 480, 669, 309, 346, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 480, 669, 309, 346, 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 480, 669, 309, 346, 684. So, keep reading to learn more.
Given numbers are 480,669,309,346,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 480,669,309,346,684 is 108718708320.
Find LCM of 480,669,309,346,684 with Prime Factorization
| 2 | 480, 669, 309, 346, 684 |
| 2 | 240, 669, 309, 173, 342 |
| 3 | 120, 669, 309, 173, 171 |
| 40, 223, 103, 173, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 40 x 223 x 103 x 173 x 57 = 108718708320
Therefore, the lowest common multiple of 480,669,309,346,684 is 108718708320.
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.
480 x 669 x 309 x 346 x 684 = 23483240997120
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.
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
669 : 1, 3, 223, 669
309 : 1, 3, 103, 309
346 : 1, 2, 173, 346
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 480,669,309,346,684, is 1.
Now, the common factors can be found like this.
480:2x 2x 2x 2x 2x 3x 5
669:3x 223
309:3x 103
346:2x 173
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 23483240997120/(1x216)
LCM = 23483240997120/216
LCM = 108718708320
Thus, we can understand that the LCM of 480,669,309,346,684 is 108718708320.
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FAQs on LCM of 480, 669, 309, 346, 684
1. What is the LCM of 480, 669, 309, 346, 684?
Answer: LCM of 480, 669, 309, 346, 684 is 108718708320.
2. How to calculate the LCM of 480, 669, 309, 346, 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 480, 669, 309, 346, 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}.