LCM of 972, 252, 652, 972, 543
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 252, 652, 972, 543 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 972, 252, 652, 972, 543. So, keep reading to learn more.
Given numbers are 972,252,652,972,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,252,652,972,543 is 200738412.
Find LCM of 972,252,652,972,543 with Prime Factorization
| 2 | 972, 252, 652, 972, 543 |
| 2 | 486, 126, 326, 486, 543 |
| 3 | 243, 63, 163, 243, 543 |
| 3 | 81, 21, 163, 81, 181 |
| 3 | 27, 7, 163, 27, 181 |
| 3 | 9, 7, 163, 9, 181 |
| 3 | 3, 7, 163, 3, 181 |
| 1, 7, 163, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 1 x 7 x 163 x 1 x 181 = 200738412
Therefore, the lowest common multiple of 972,252,652,972,543 is 200738412.
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.
972 x 252 x 652 x 972 x 543 = 84290862152448
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
652 : 1, 2, 4, 163, 326, 652
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,252,652,972,543, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
252:2x 2x 3x 3x 7
652:2x 2x 163
972:2x 2x 3x 3x 3x 3x 3
543:3x 181
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 2x 3x 3x 3x 3x 3x 3x 3x 3 = 419904
Therefore, the value for common factors is 419904.
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 = 84290862152448/(1x419904)
LCM = 84290862152448/419904
LCM = 200738412
Thus, we can understand that the LCM of 972,252,652,972,543 is 200738412.
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FAQs on LCM of 972, 252, 652, 972, 543
1. What is the LCM of 972, 252, 652, 972, 543?
Answer: LCM of 972, 252, 652, 972, 543 is 200738412.
2. How to calculate the LCM of 972, 252, 652, 972, 543?
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 972, 252, 652, 972, 543.
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}.