Find the LCM of 723, 946, 635, 260, 276 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 723, 946, 635, 260, 276. So, keep reading to learn more.
Given numbers are 723,946,635,260,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,946,635,260,276 is 259719371340.
Find LCM of 723,946,635,260,276 with Prime Factorization
2 | 723, 946, 635, 260, 276 |
2 | 723, 473, 635, 130, 138 |
3 | 723, 473, 635, 65, 69 |
5 | 241, 473, 635, 65, 23 |
241, 473, 127, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 241 x 473 x 127 x 13 x 23 = 259719371340
Therefore, the lowest common multiple of 723,946,635,260,276 is 259719371340.
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.
723 x 946 x 635 x 260 x 276 = 31166324560800
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.
723 : 1, 3, 241, 723
946 : 1, 2, 11, 22, 43, 86, 473, 946
635 : 1, 5, 127, 635
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,946,635,260,276, is 1.
Now, the common factors can be found like this.
723:3x 241
946:2x 11x 43
635:5x 127
260:2x 2x 5x 13
276:2x 2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 31166324560800/(1x120)
LCM = 31166324560800/120
LCM = 259719371340
Thus, we can understand that the LCM of 723,946,635,260,276 is 259719371340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 723, 946, 635, 260, 276?
Answer: LCM of 723, 946, 635, 260, 276 is 259719371340.
2. How to calculate the LCM of 723, 946, 635, 260, 276?
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 723, 946, 635, 260, 276.
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}.