LCM of 266, 589, 609, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 589, 609, 118 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 266, 589, 609, 118. So, keep reading to learn more.
Given numbers are 266,589,609,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,589,609,118 is 42326718.
Find LCM of 266,589,609,118 with Prime Factorization
| 2 | 266, 589, 609, 118 |
| 7 | 133, 589, 609, 59 |
| 19 | 19, 589, 87, 59 |
| 1, 31, 87, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 1 x 31 x 87 x 59 = 42326718
Therefore, the lowest common multiple of 266,589,609,118 is 42326718.
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.
266 x 589 x 609 x 118 = 11258906988
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
589 : 1, 19, 31, 589
609 : 1, 3, 7, 21, 29, 87, 203, 609
118 : 1, 2, 59, 118
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,589,609,118, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
589:19x 31
609:3x 7x 29
118:2x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 19 = 266
Therefore, the value for common factors is 266.
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 = 11258906988/(1x266)
LCM = 11258906988/266
LCM = 42326718
Thus, we can understand that the LCM of 266,589,609,118 is 42326718.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 266, 589, 609, 118
1. What is the LCM of 266, 589, 609, 118?
Answer: LCM of 266, 589, 609, 118 is 42326718.
2. How to calculate the LCM of 266, 589, 609, 118?
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 266, 589, 609, 118.
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}.