Find the LCM of 596, 624, 910, 460, 734 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 596, 624, 910, 460, 734. So, keep reading to learn more.
Given numbers are 596,624,910,460,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,624,910,460,734 is 27468364560.
Find LCM of 596,624,910,460,734 with Prime Factorization
2 | 596, 624, 910, 460, 734 |
2 | 298, 312, 455, 230, 367 |
5 | 149, 156, 455, 115, 367 |
13 | 149, 156, 91, 23, 367 |
149, 12, 7, 23, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 149 x 12 x 7 x 23 x 367 = 27468364560
Therefore, the lowest common multiple of 596,624,910,460,734 is 27468364560.
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.
596 x 624 x 910 x 460 x 734 = 114268396569600
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.
596 : 1, 2, 4, 149, 298, 596
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
734 : 1, 2, 367, 734
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,624,910,460,734, is 2.
Now, the common factors can be found like this.
596:2x 2x 149
624:2x 2x 2x 2x 3x 13
910:2x 5x 7x 13
460:2x 2x 5x 23
734:2x 367
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 2x 2x 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 114268396569600/(2x2080)
LCM = 114268396569600/4160
LCM = 27468364560
Thus, we can understand that the LCM of 596,624,910,460,734 is 27468364560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 596, 624, 910, 460, 734?
Answer: LCM of 596, 624, 910, 460, 734 is 27468364560.
2. How to calculate the LCM of 596, 624, 910, 460, 734?
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 596, 624, 910, 460, 734.
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}.