LCM of 981, 507, 686, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 507, 686, 875 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 981, 507, 686, 875. So, keep reading to learn more.
Given numbers are 981,507,686,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,507,686,875 is 14216406750.
Find LCM of 981,507,686,875 with Prime Factorization
| 3 | 981, 507, 686, 875 |
| 7 | 327, 169, 686, 875 |
| 327, 169, 98, 125 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 327 x 169 x 98 x 125 = 14216406750
Therefore, the lowest common multiple of 981,507,686,875 is 14216406750.
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.
981 x 507 x 686 x 875 = 298544541750
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.
981 : 1, 3, 9, 109, 327, 981
507 : 1, 3, 13, 39, 169, 507
686 : 1, 2, 7, 14, 49, 98, 343, 686
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,507,686,875, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
507:3x 13x 13
686:2x 7x 7x 7
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 298544541750/(1x21)
LCM = 298544541750/21
LCM = 14216406750
Thus, we can understand that the LCM of 981,507,686,875 is 14216406750.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 981, 507, 686, 875
1. What is the LCM of 981, 507, 686, 875?
Answer: LCM of 981, 507, 686, 875 is 14216406750.
2. How to calculate the LCM of 981, 507, 686, 875?
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 981, 507, 686, 875.
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}.