LCM of 559, 234, 334, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 559, 234, 334, 167 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 559, 234, 334, 167. So, keep reading to learn more.
Given numbers are 559,234,334,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 559,234,334,167 is 1680354.
Find LCM of 559,234,334,167 with Prime Factorization
| 2 | 559, 234, 334, 167 |
| 13 | 559, 117, 167, 167 |
| 167 | 43, 9, 167, 167 |
| 43, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 167 x 43 x 9 x 1 x 1 = 1680354
Therefore, the lowest common multiple of 559,234,334,167 is 1680354.
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.
559 x 234 x 334 x 167 = 7296097068
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.
559 : 1, 13, 43, 559
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
334 : 1, 2, 167, 334
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,234,334,167, is 1.
Now, the common factors can be found like this.
559:13x 43
234:2x 3x 3x 13
334:2x 167
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 167 = 4342
Therefore, the value for common factors is 4342.
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 = 7296097068/(1x4342)
LCM = 7296097068/4342
LCM = 1680354
Thus, we can understand that the LCM of 559,234,334,167 is 1680354.
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FAQs on LCM of 559, 234, 334, 167
1. What is the LCM of 559, 234, 334, 167?
Answer: LCM of 559, 234, 334, 167 is 1680354.
2. How to calculate the LCM of 559, 234, 334, 167?
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 559, 234, 334, 167.
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}.