LCM of 334, 835, 311, 182, 650
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 334, 835, 311, 182, 650 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 334, 835, 311, 182, 650. So, keep reading to learn more.
Given numbers are 334,835,311,182,650
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,835,311,182,650 is 236313350.
Find LCM of 334,835,311,182,650 with Prime Factorization
| 2 | 334, 835, 311, 182, 650 |
| 5 | 167, 835, 311, 91, 325 |
| 13 | 167, 167, 311, 91, 65 |
| 167 | 167, 167, 311, 7, 5 |
| 1, 1, 311, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 167 x 1 x 1 x 311 x 7 x 5 = 236313350
Therefore, the lowest common multiple of 334,835,311,182,650 is 236313350.
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.
334 x 835 x 311 x 182 x 650 = 10260725657000
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.
334 : 1, 2, 167, 334
835 : 1, 5, 167, 835
311 : 1, 311
182 : 1, 2, 7, 13, 14, 26, 91, 182
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,835,311,182,650, is 1.
Now, the common factors can be found like this.
334:2x 167
835:5x 167
311:311
182:2x 7x 13
650:2x 5x 5x 13
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 5x 13x 167 = 43420
Therefore, the value for common factors is 43420.
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 = 10260725657000/(1x43420)
LCM = 10260725657000/43420
LCM = 236313350
Thus, we can understand that the LCM of 334,835,311,182,650 is 236313350.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 334, 835, 311, 182, 650
1. What is the LCM of 334, 835, 311, 182, 650?
Answer: LCM of 334, 835, 311, 182, 650 is 236313350.
2. How to calculate the LCM of 334, 835, 311, 182, 650?
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 334, 835, 311, 182, 650.
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}.