LCM of 334, 504, 945, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 504, 945, 189 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 334, 504, 945, 189. So, keep reading to learn more.
Given numbers are 334,504,945,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,504,945,189 is 1262520.
Find LCM of 334,504,945,189 with Prime Factorization
| 2 | 334, 504, 945, 189 |
| 3 | 167, 252, 945, 189 |
| 3 | 167, 84, 315, 63 |
| 3 | 167, 28, 105, 21 |
| 7 | 167, 28, 35, 7 |
| 167, 4, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 167 x 4 x 5 x 1 = 1262520
Therefore, the lowest common multiple of 334,504,945,189 is 1262520.
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.
334 x 504 x 945 x 189 = 30065651280
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.
334 : 1, 2, 167, 334
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,504,945,189, is 1.
Now, the common factors can be found like this.
334:2x 167
504:2x 2x 2x 3x 3x 7
945:3x 3x 3x 5x 7
189:3x 3x 3x 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 3x 3x 3x 3x 3x 7x 7 = 23814
Therefore, the value for common factors is 23814.
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 = 30065651280/(1x23814)
LCM = 30065651280/23814
LCM = 1262520
Thus, we can understand that the LCM of 334,504,945,189 is 1262520.
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FAQs on LCM of 334, 504, 945, 189
1. What is the LCM of 334, 504, 945, 189?
Answer: LCM of 334, 504, 945, 189 is 1262520.
2. How to calculate the LCM of 334, 504, 945, 189?
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 334, 504, 945, 189.
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}.