LCM of 558, 334, 945, 501, 589
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 334, 945, 501, 589 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 558, 334, 945, 501, 589. So, keep reading to learn more.
Given numbers are 558,334,945,501,589
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,334,945,501,589 is 185906070.
Find LCM of 558,334,945,501,589 with Prime Factorization
| 2 | 558, 334, 945, 501, 589 |
| 3 | 279, 167, 945, 501, 589 |
| 3 | 93, 167, 315, 167, 589 |
| 31 | 31, 167, 105, 167, 589 |
| 167 | 1, 167, 105, 167, 19 |
| 1, 1, 105, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 167 x 1 x 1 x 105 x 1 x 19 = 185906070
Therefore, the lowest common multiple of 558,334,945,501,589 is 185906070.
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.
558 x 334 x 945 x 501 x 589 = 51971529117060
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
334 : 1, 2, 167, 334
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
501 : 1, 3, 167, 501
589 : 1, 19, 31, 589
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,334,945,501,589, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
334:2x 167
945:3x 3x 3x 5x 7
501:3x 167
589:19x 31
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 31x 167 = 279558
Therefore, the value for common factors is 279558.
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 = 51971529117060/(1x279558)
LCM = 51971529117060/279558
LCM = 185906070
Thus, we can understand that the LCM of 558,334,945,501,589 is 185906070.
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FAQs on LCM of 558, 334, 945, 501, 589
1. What is the LCM of 558, 334, 945, 501, 589?
Answer: LCM of 558, 334, 945, 501, 589 is 185906070.
2. How to calculate the LCM of 558, 334, 945, 501, 589?
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 558, 334, 945, 501, 589.
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}.