LCM of 673, 309, 412, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 673, 309, 412, 420 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 673, 309, 412, 420. So, keep reading to learn more.
Given numbers are 673,309,412,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,309,412,420 is 29113980.
Find LCM of 673,309,412,420 with Prime Factorization
| 2 | 673, 309, 412, 420 |
| 2 | 673, 309, 206, 210 |
| 3 | 673, 309, 103, 105 |
| 103 | 673, 103, 103, 35 |
| 673, 1, 1, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 673 x 1 x 1 x 35 = 29113980
Therefore, the lowest common multiple of 673,309,412,420 is 29113980.
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.
673 x 309 x 412 x 420 = 35984879280
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.
673 : 1, 673
309 : 1, 3, 103, 309
412 : 1, 2, 4, 103, 206, 412
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,309,412,420, is 1.
Now, the common factors can be found like this.
673:673
309:3x 103
412:2x 2x 103
420:2x 2x 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 3x 103 = 1236
Therefore, the value for common factors is 1236.
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 = 35984879280/(1x1236)
LCM = 35984879280/1236
LCM = 29113980
Thus, we can understand that the LCM of 673,309,412,420 is 29113980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 673, 309, 412, 420
1. What is the LCM of 673, 309, 412, 420?
Answer: LCM of 673, 309, 412, 420 is 29113980.
2. How to calculate the LCM of 673, 309, 412, 420?
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 673, 309, 412, 420.
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}.