LCM of 759, 825, 947, 230, 865
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 825, 947, 230, 865 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 759, 825, 947, 230, 865. So, keep reading to learn more.
Given numbers are 759,825,947,230,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,825,947,230,865 is 6217386450.
Find LCM of 759,825,947,230,865 with Prime Factorization
| 3 | 759, 825, 947, 230, 865 |
| 5 | 253, 275, 947, 230, 865 |
| 11 | 253, 55, 947, 46, 173 |
| 23 | 23, 5, 947, 46, 173 |
| 1, 5, 947, 2, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 23 x 1 x 5 x 947 x 2 x 173 = 6217386450
Therefore, the lowest common multiple of 759,825,947,230,865 is 6217386450.
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.
759 x 825 x 947 x 230 x 865 = 117974907888750
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
947 : 1, 947
230 : 1, 2, 5, 10, 23, 46, 115, 230
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,825,947,230,865, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
825:3x 5x 5x 11
947:947
230:2x 5x 23
865:5x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 11x 23 = 18975
Therefore, the value for common factors is 18975.
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 = 117974907888750/(1x18975)
LCM = 117974907888750/18975
LCM = 6217386450
Thus, we can understand that the LCM of 759,825,947,230,865 is 6217386450.
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FAQs on LCM of 759, 825, 947, 230, 865
1. What is the LCM of 759, 825, 947, 230, 865?
Answer: LCM of 759, 825, 947, 230, 865 is 6217386450.
2. How to calculate the LCM of 759, 825, 947, 230, 865?
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 759, 825, 947, 230, 865.
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}.