Find the LCM of 279, 897, 945, 651, 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 279, 897, 945, 651, 686. So, keep reading to learn more.
Given numbers are 279,897,945,651,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,897,945,651,686 is 858402090.
Find LCM of 279,897,945,651,686 with Prime Factorization
3 | 279, 897, 945, 651, 686 |
3 | 93, 299, 315, 217, 686 |
7 | 31, 299, 105, 217, 686 |
31 | 31, 299, 15, 31, 98 |
1, 299, 15, 1, 98 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 31 x 1 x 299 x 15 x 1 x 98 = 858402090
Therefore, the lowest common multiple of 279,897,945,651,686 is 858402090.
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.
279 x 897 x 945 x 651 x 686 = 105616934751510
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.
279 : 1, 3, 9, 31, 93, 279
897 : 1, 3, 13, 23, 39, 69, 299, 897
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
651 : 1, 3, 7, 21, 31, 93, 217, 651
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 279,897,945,651,686, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
897:3x 13x 23
945:3x 3x 3x 5x 7
651:3x 7x 31
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.
3x 3x 3x 3x 7x 7x 31 = 123039
Therefore, the value for common factors is 123039.
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 = 105616934751510/(1x123039)
LCM = 105616934751510/123039
LCM = 858402090
Thus, we can understand that the LCM of 279,897,945,651,686 is 858402090.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 897, 945, 651, 686?
Answer: LCM of 279, 897, 945, 651, 686 is 858402090.
2. How to calculate the LCM of 279, 897, 945, 651, 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 279, 897, 945, 651, 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}.