LCM of 785, 861, 287, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 861, 287, 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 785, 861, 287, 167. So, keep reading to learn more.
Given numbers are 785,861,287,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,861,287,167 is 112872795.
Find LCM of 785,861,287,167 with Prime Factorization
| 7 | 785, 861, 287, 167 |
| 41 | 785, 123, 41, 167 |
| 785, 3, 1, 167 |
Multiply the prime numbers at the bottom and the left side.
7 x 41 x 785 x 3 x 1 x 167 = 112872795
Therefore, the lowest common multiple of 785,861,287,167 is 112872795.
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.
785 x 861 x 287 x 167 = 32394492165
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.
785 : 1, 5, 157, 785
861 : 1, 3, 7, 21, 41, 123, 287, 861
287 : 1, 7, 41, 287
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,861,287,167, is 1.
Now, the common factors can be found like this.
785:5x 157
861:3x 7x 41
287:7x 41
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.
7x 41 = 287
Therefore, the value for common factors is 287.
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 = 32394492165/(1x287)
LCM = 32394492165/287
LCM = 112872795
Thus, we can understand that the LCM of 785,861,287,167 is 112872795.
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FAQs on LCM of 785, 861, 287, 167
1. What is the LCM of 785, 861, 287, 167?
Answer: LCM of 785, 861, 287, 167 is 112872795.
2. How to calculate the LCM of 785, 861, 287, 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 785, 861, 287, 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}.