LCM of 666, 749, 175, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 666, 749, 175, 214 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, 749, 175, 214. So, keep reading to learn more.
Given numbers are 666,749,175,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 666,749,175,214 is 12470850.
Find LCM of 666,749,175,214 with Prime Factorization
| 2 | 666, 749, 175, 214 |
| 7 | 333, 749, 175, 107 |
| 107 | 333, 107, 25, 107 |
| 333, 1, 25, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 107 x 333 x 1 x 25 x 1 = 12470850
Therefore, the lowest common multiple of 666,749,175,214 is 12470850.
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 749 x 175 x 214 = 18681333300
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
749 : 1, 7, 107, 749
175 : 1, 5, 7, 25, 35, 175
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,749,175,214, is 1.
Now, the common factors can be found like this.
666:2x 3x 3x 37
749:7x 107
175:5x 5x 7
214:2x 107
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 107 = 1498
Therefore, the value for common factors is 1498.
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 = 18681333300/(1x1498)
LCM = 18681333300/1498
LCM = 12470850
Thus, we can understand that the LCM of 666,749,175,214 is 12470850.
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FAQs on LCM of 666, 749, 175, 214
1. What is the LCM of 666, 749, 175, 214?
Answer: LCM of 666, 749, 175, 214 is 12470850.
2. How to calculate the LCM of 666, 749, 175, 214?
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, 749, 175, 214.
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}.