LCM of 948, 973, 324, 952, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 948, 973, 324, 952, 518 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 948, 973, 324, 952, 518. So, keep reading to learn more.
Given numbers are 948,973,324,952,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 948,973,324,952,518 is 31330374264.
Find LCM of 948,973,324,952,518 with Prime Factorization
| 2 | 948, 973, 324, 952, 518 |
| 2 | 474, 973, 162, 476, 259 |
| 3 | 237, 973, 81, 238, 259 |
| 7 | 79, 973, 27, 238, 259 |
| 79, 139, 27, 34, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 79 x 139 x 27 x 34 x 37 = 31330374264
Therefore, the lowest common multiple of 948,973,324,952,518 is 31330374264.
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.
948 x 973 x 324 x 952 x 518 = 147378080537856
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.
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
973 : 1, 7, 139, 973
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 948,973,324,952,518, is 1.
Now, the common factors can be found like this.
948:2x 2x 3x 79
973:7x 139
324:2x 2x 3x 3x 3x 3
952:2x 2x 2x 7x 17
518:2x 7x 37
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 3x 7x 7 = 4704
Therefore, the value for common factors is 4704.
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 = 147378080537856/(1x4704)
LCM = 147378080537856/4704
LCM = 31330374264
Thus, we can understand that the LCM of 948,973,324,952,518 is 31330374264.
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FAQs on LCM of 948, 973, 324, 952, 518
1. What is the LCM of 948, 973, 324, 952, 518?
Answer: LCM of 948, 973, 324, 952, 518 is 31330374264.
2. How to calculate the LCM of 948, 973, 324, 952, 518?
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 948, 973, 324, 952, 518.
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}.