Find the LCM of 673, 910, 865, 385, 253 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 673, 910, 865, 385, 253. So, keep reading to learn more.
Given numbers are 673,910,865,385,253
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 673,910,865,385,253 is 26805448670.
Find LCM of 673,910,865,385,253 with Prime Factorization
5 | 673, 910, 865, 385, 253 |
7 | 673, 182, 173, 77, 253 |
11 | 673, 26, 173, 11, 253 |
673, 26, 173, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 673 x 26 x 173 x 1 x 23 = 26805448670
Therefore, the lowest common multiple of 673,910,865,385,253 is 26805448670.
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.
673 x 910 x 865 x 385 x 253 = 51600488689750
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.
673 : 1, 673
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
865 : 1, 5, 173, 865
385 : 1, 5, 7, 11, 35, 55, 77, 385
253 : 1, 11, 23, 253
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,910,865,385,253, is 1.
Now, the common factors can be found like this.
673:673
910:2x 5x 7x 13
865:5x 173
385:5x 7x 11
253:11x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 7x 11 = 1925
Therefore, the value for common factors is 1925.
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 = 51600488689750/(1x1925)
LCM = 51600488689750/1925
LCM = 26805448670
Thus, we can understand that the LCM of 673,910,865,385,253 is 26805448670.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 673, 910, 865, 385, 253?
Answer: LCM of 673, 910, 865, 385, 253 is 26805448670.
2. How to calculate the LCM of 673, 910, 865, 385, 253?
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 673, 910, 865, 385, 253.
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}.