Find the LCM of 564, 516, 597, 532, 631 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 564, 516, 597, 532, 631. So, keep reading to learn more.
Given numbers are 564,516,597,532,631
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,516,597,532,631 is 405024818604.
Find LCM of 564,516,597,532,631 with Prime Factorization
2 | 564, 516, 597, 532, 631 |
2 | 282, 258, 597, 266, 631 |
3 | 141, 129, 597, 133, 631 |
47, 43, 199, 133, 631 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 43 x 199 x 133 x 631 = 405024818604
Therefore, the lowest common multiple of 564,516,597,532,631 is 405024818604.
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.
564 x 516 x 597 x 532 x 631 = 58323573878976
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
597 : 1, 3, 199, 597
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
631 : 1, 631
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,516,597,532,631, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
516:2x 2x 3x 43
597:3x 199
532:2x 2x 7x 19
631:631
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 58323573878976/(1x144)
LCM = 58323573878976/144
LCM = 405024818604
Thus, we can understand that the LCM of 564,516,597,532,631 is 405024818604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 564, 516, 597, 532, 631?
Answer: LCM of 564, 516, 597, 532, 631 is 405024818604.
2. How to calculate the LCM of 564, 516, 597, 532, 631?
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 564, 516, 597, 532, 631.
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}.