LCM of 666, 590, 118, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 666, 590, 118, 133 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 666, 590, 118, 133. So, keep reading to learn more.
Given numbers are 666,590,118,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 666,590,118,133 is 26130510.
Find LCM of 666,590,118,133 with Prime Factorization
| 2 | 666, 590, 118, 133 |
| 59 | 333, 295, 59, 133 |
| 333, 5, 1, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 333 x 5 x 1 x 133 = 26130510
Therefore, the lowest common multiple of 666,590,118,133 is 26130510.
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.
666 x 590 x 118 x 133 = 6166800360
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.
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
590 : 1, 2, 5, 10, 59, 118, 295, 590
118 : 1, 2, 59, 118
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,590,118,133, is 1.
Now, the common factors can be found like this.
666:2x 3x 3x 37
590:2x 5x 59
118:2x 59
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 59 = 236
Therefore, the value for common factors is 236.
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 = 6166800360/(1x236)
LCM = 6166800360/236
LCM = 26130510
Thus, we can understand that the LCM of 666,590,118,133 is 26130510.
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FAQs on LCM of 666, 590, 118, 133
1. What is the LCM of 666, 590, 118, 133?
Answer: LCM of 666, 590, 118, 133 is 26130510.
2. How to calculate the LCM of 666, 590, 118, 133?
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 666, 590, 118, 133.
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}.