Find the LCM of 513, 703, 692, 226, 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 513, 703, 692, 226, 865. So, keep reading to learn more.
Given numbers are 513,703,692,226,865
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,703,692,226,865 is 7421191380.
Find LCM of 513,703,692,226,865 with Prime Factorization
2 | 513, 703, 692, 226, 865 |
19 | 513, 703, 346, 113, 865 |
173 | 27, 37, 346, 113, 865 |
27, 37, 2, 113, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 173 x 27 x 37 x 2 x 113 x 5 = 7421191380
Therefore, the lowest common multiple of 513,703,692,226,865 is 7421191380.
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.
513 x 703 x 692 x 226 x 865 = 48786912132120
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
703 : 1, 19, 37, 703
692 : 1, 2, 4, 173, 346, 692
226 : 1, 2, 113, 226
865 : 1, 5, 173, 865
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,703,692,226,865, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
703:19x 37
692:2x 2x 173
226:2x 113
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.
2x 19x 173 = 6574
Therefore, the value for common factors is 6574.
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 = 48786912132120/(1x6574)
LCM = 48786912132120/6574
LCM = 7421191380
Thus, we can understand that the LCM of 513,703,692,226,865 is 7421191380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 513, 703, 692, 226, 865?
Answer: LCM of 513, 703, 692, 226, 865 is 7421191380.
2. How to calculate the LCM of 513, 703, 692, 226, 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 513, 703, 692, 226, 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}.