Find the LCM of 631, 624, 371, 972, 567 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 631, 624, 371, 972, 567. So, keep reading to learn more.
Given numbers are 631,624,371,972,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,624,371,972,567 is 11832400944.
Find LCM of 631,624,371,972,567 with Prime Factorization
2 | 631, 624, 371, 972, 567 |
2 | 631, 312, 371, 486, 567 |
3 | 631, 156, 371, 243, 567 |
3 | 631, 52, 371, 81, 189 |
3 | 631, 52, 371, 27, 63 |
3 | 631, 52, 371, 9, 21 |
7 | 631, 52, 371, 3, 7 |
631, 52, 53, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 7 x 631 x 52 x 53 x 3 x 1 = 11832400944
Therefore, the lowest common multiple of 631,624,371,972,567 is 11832400944.
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.
631 x 624 x 371 x 972 x 567 = 80507656022976
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.
631 : 1, 631
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
371 : 1, 7, 53, 371
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,624,371,972,567, is 1.
Now, the common factors can be found like this.
631:631
624:2x 2x 2x 2x 3x 13
371:7x 53
972:2x 2x 3x 3x 3x 3x 3
567:3x 3x 3x 3x 7
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 3x 3x 7 = 6804
Therefore, the value for common factors is 6804.
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 = 80507656022976/(1x6804)
LCM = 80507656022976/6804
LCM = 11832400944
Thus, we can understand that the LCM of 631,624,371,972,567 is 11832400944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 631, 624, 371, 972, 567?
Answer: LCM of 631, 624, 371, 972, 567 is 11832400944.
2. How to calculate the LCM of 631, 624, 371, 972, 567?
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 631, 624, 371, 972, 567.
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}.