Find the LCM of 588, 456, 644, 308, 524 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 588, 456, 644, 308, 524. So, keep reading to learn more.
Given numbers are 588,456,644,308,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,456,644,308,524 is 740547192.
Find LCM of 588,456,644,308,524 with Prime Factorization
2 | 588, 456, 644, 308, 524 |
2 | 294, 228, 322, 154, 262 |
3 | 147, 114, 161, 77, 131 |
7 | 49, 38, 161, 77, 131 |
7, 38, 23, 11, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 38 x 23 x 11 x 131 = 740547192
Therefore, the lowest common multiple of 588,456,644,308,524 is 740547192.
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.
588 x 456 x 644 x 308 x 524 = 27868271929344
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
524 : 1, 2, 4, 131, 262, 524
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,456,644,308,524, is 4.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
456:2x 2x 2x 3x 19
644:2x 2x 7x 23
308:2x 2x 7x 11
524:2x 2x 131
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 2x 3x 7x 7 = 9408
Therefore, the value for common factors is 9408.
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 = 27868271929344/(4x9408)
LCM = 27868271929344/37632
LCM = 740547192
Thus, we can understand that the LCM of 588,456,644,308,524 is 740547192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 588, 456, 644, 308, 524?
Answer: LCM of 588, 456, 644, 308, 524 is 740547192.
2. How to calculate the LCM of 588, 456, 644, 308, 524?
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 588, 456, 644, 308, 524.
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}.