LCM of 291, 933, 500, 933, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 291, 933, 500, 933, 167 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 291, 933, 500, 933, 167. So, keep reading to learn more.
Given numbers are 291,933,500,933,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 291,933,500,933,167 is 7556833500.
Find LCM of 291,933,500,933,167 with Prime Factorization
| 3 | 291, 933, 500, 933, 167 |
| 311 | 97, 311, 500, 311, 167 |
| 97, 1, 500, 1, 167 |
Multiply the prime numbers at the bottom and the left side.
3 x 311 x 97 x 1 x 500 x 1 x 167 = 7556833500
Therefore, the lowest common multiple of 291,933,500,933,167 is 7556833500.
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.
291 x 933 x 500 x 933 x 167 = 21151576966500
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.
291 : 1, 3, 97, 291
933 : 1, 3, 311, 933
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
933 : 1, 3, 311, 933
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,933,500,933,167, is 1.
Now, the common factors can be found like this.
291:3x 97
933:3x 311
500:2x 2x 5x 5x 5
933:3x 311
167:167
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 311 = 2799
Therefore, the value for common factors is 2799.
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 = 21151576966500/(1x2799)
LCM = 21151576966500/2799
LCM = 7556833500
Thus, we can understand that the LCM of 291,933,500,933,167 is 7556833500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 291, 933, 500, 933, 167
1. What is the LCM of 291, 933, 500, 933, 167?
Answer: LCM of 291, 933, 500, 933, 167 is 7556833500.
2. How to calculate the LCM of 291, 933, 500, 933, 167?
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 291, 933, 500, 933, 167.
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}.