LCM of 673, 146, 768, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 673, 146, 768, 219 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, 146, 768, 219. So, keep reading to learn more.
Given numbers are 673,146,768,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,146,768,219 is 37731072.
Find LCM of 673,146,768,219 with Prime Factorization
| 2 | 673, 146, 768, 219 |
| 3 | 673, 73, 384, 219 |
| 73 | 673, 73, 128, 73 |
| 673, 1, 128, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 673 x 1 x 128 x 1 = 37731072
Therefore, the lowest common multiple of 673,146,768,219 is 37731072.
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 146 x 768 x 219 = 16526209536
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
146 : 1, 2, 73, 146
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,146,768,219, is 1.
Now, the common factors can be found like this.
673:673
146:2x 73
768:2x 2x 2x 2x 2x 2x 2x 2x 3
219:3x 73
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 73 = 438
Therefore, the value for common factors is 438.
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 = 16526209536/(1x438)
LCM = 16526209536/438
LCM = 37731072
Thus, we can understand that the LCM of 673,146,768,219 is 37731072.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 673, 146, 768, 219
1. What is the LCM of 673, 146, 768, 219?
Answer: LCM of 673, 146, 768, 219 is 37731072.
2. How to calculate the LCM of 673, 146, 768, 219?
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, 146, 768, 219.
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}.