LCM of 893, 501, 909, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 893, 501, 909, 686 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 893, 501, 909, 686. So, keep reading to learn more.
Given numbers are 893,501,909,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 893,501,909,686 is 92994214194.
Find LCM of 893,501,909,686 with Prime Factorization
| 3 | 893, 501, 909, 686 |
| 893, 167, 303, 686 |
Multiply the prime numbers at the bottom and the left side.
3 x 893 x 167 x 303 x 686 = 92994214194
Therefore, the lowest common multiple of 893,501,909,686 is 92994214194.
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.
893 x 501 x 909 x 686 = 278982642582
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.
893 : 1, 19, 47, 893
501 : 1, 3, 167, 501
909 : 1, 3, 9, 101, 303, 909
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 893,501,909,686, is 1.
Now, the common factors can be found like this.
893:19x 47
501:3x 167
909:3x 3x 101
686:2x 7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 278982642582/(1x3)
LCM = 278982642582/3
LCM = 92994214194
Thus, we can understand that the LCM of 893,501,909,686 is 92994214194.
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FAQs on LCM of 893, 501, 909, 686
1. What is the LCM of 893, 501, 909, 686?
Answer: LCM of 893, 501, 909, 686 is 92994214194.
2. How to calculate the LCM of 893, 501, 909, 686?
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 893, 501, 909, 686.
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}.