Find the LCM of 479, 456, 631, 758, 871 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 479, 456, 631, 758, 871. So, keep reading to learn more.
Given numbers are 479,456,631,758,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,456,631,758,871 is 45497452504296.
Find LCM of 479,456,631,758,871 with Prime Factorization
2 | 479, 456, 631, 758, 871 |
479, 228, 631, 379, 871 |
Multiply the prime numbers at the bottom and the left side.
2 x 479 x 228 x 631 x 379 x 871 = 45497452504296
Therefore, the lowest common multiple of 479,456,631,758,871 is 45497452504296.
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.
479 x 456 x 631 x 758 x 871 = 90994905008592
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.
479 : 1, 479
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
631 : 1, 631
758 : 1, 2, 379, 758
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,456,631,758,871, is 1.
Now, the common factors can be found like this.
479:479
456:2x 2x 2x 3x 19
631:631
758:2x 379
871:13x 67
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 90994905008592/(1x2)
LCM = 90994905008592/2
LCM = 45497452504296
Thus, we can understand that the LCM of 479,456,631,758,871 is 45497452504296.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 479, 456, 631, 758, 871?
Answer: LCM of 479, 456, 631, 758, 871 is 45497452504296.
2. How to calculate the LCM of 479, 456, 631, 758, 871?
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 479, 456, 631, 758, 871.
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}.