Find the LCM of 567, 117, 456, 532, 463 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 567, 117, 456, 532, 463. So, keep reading to learn more.
Given numbers are 567,117,456,532,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,117,456,532,463 is 518741496.
Find LCM of 567,117,456,532,463 with Prime Factorization
2 | 567, 117, 456, 532, 463 |
2 | 567, 117, 228, 266, 463 |
3 | 567, 117, 114, 133, 463 |
3 | 189, 39, 38, 133, 463 |
7 | 63, 13, 38, 133, 463 |
19 | 9, 13, 38, 19, 463 |
9, 13, 2, 1, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 19 x 9 x 13 x 2 x 1 x 463 = 518741496
Therefore, the lowest common multiple of 567,117,456,532,463 is 518741496.
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.
567 x 117 x 456 x 532 x 463 = 7451202848544
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
117 : 1, 3, 9, 13, 39, 117
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,117,456,532,463, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
117:3x 3x 13
456:2x 2x 2x 3x 19
532:2x 2x 7x 19
463:463
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 3x 3x 3x 7x 19 = 14364
Therefore, the value for common factors is 14364.
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 = 7451202848544/(1x14364)
LCM = 7451202848544/14364
LCM = 518741496
Thus, we can understand that the LCM of 567,117,456,532,463 is 518741496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 117, 456, 532, 463?
Answer: LCM of 567, 117, 456, 532, 463 is 518741496.
2. How to calculate the LCM of 567, 117, 456, 532, 463?
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 567, 117, 456, 532, 463.
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}.