LCM of 711, 342, 167, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 711, 342, 167, 991 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 711, 342, 167, 991. So, keep reading to learn more.
Given numbers are 711,342,167,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 711,342,167,991 is 4471397946.
Find LCM of 711,342,167,991 with Prime Factorization
| 3 | 711, 342, 167, 991 |
| 3 | 237, 114, 167, 991 |
| 79, 38, 167, 991 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 79 x 38 x 167 x 991 = 4471397946
Therefore, the lowest common multiple of 711,342,167,991 is 4471397946.
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.
711 x 342 x 167 x 991 = 40242581514
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.
711 : 1, 3, 9, 79, 237, 711
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
167 : 1, 167
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 711,342,167,991, is 1.
Now, the common factors can be found like this.
711:3x 3x 79
342:2x 3x 3x 19
167:167
991:991
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 40242581514/(1x9)
LCM = 40242581514/9
LCM = 4471397946
Thus, we can understand that the LCM of 711,342,167,991 is 4471397946.
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FAQs on LCM of 711, 342, 167, 991
1. What is the LCM of 711, 342, 167, 991?
Answer: LCM of 711, 342, 167, 991 is 4471397946.
2. How to calculate the LCM of 711, 342, 167, 991?
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 711, 342, 167, 991.
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}.