LCM of 167, 665, 835, 734, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 665, 835, 734, 699 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 167, 665, 835, 734, 699. So, keep reading to learn more.
Given numbers are 167,665,835,734,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,665,835,734,699 is 56978544630.
Find LCM of 167,665,835,734,699 with Prime Factorization
| 5 | 167, 665, 835, 734, 699 |
| 167 | 167, 133, 167, 734, 699 |
| 1, 133, 1, 734, 699 |
Multiply the prime numbers at the bottom and the left side.
5 x 167 x 1 x 133 x 1 x 734 x 699 = 56978544630
Therefore, the lowest common multiple of 167,665,835,734,699 is 56978544630.
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.
167 x 665 x 835 x 734 x 699 = 47577084766050
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.
167 : 1, 167
665 : 1, 5, 7, 19, 35, 95, 133, 665
835 : 1, 5, 167, 835
734 : 1, 2, 367, 734
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,665,835,734,699, is 1.
Now, the common factors can be found like this.
167:167
665:5x 7x 19
835:5x 167
734:2x 367
699:3x 233
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 167 = 835
Therefore, the value for common factors is 835.
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 = 47577084766050/(1x835)
LCM = 47577084766050/835
LCM = 56978544630
Thus, we can understand that the LCM of 167,665,835,734,699 is 56978544630.
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FAQs on LCM of 167, 665, 835, 734, 699
1. What is the LCM of 167, 665, 835, 734, 699?
Answer: LCM of 167, 665, 835, 734, 699 is 56978544630.
2. How to calculate the LCM of 167, 665, 835, 734, 699?
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 167, 665, 835, 734, 699.
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}.