LCM of 272, 220, 561, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 272, 220, 561, 972 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 272, 220, 561, 972. So, keep reading to learn more.
Given numbers are 272,220,561,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 272,220,561,972 is 3635280.
Find LCM of 272,220,561,972 with Prime Factorization
| 2 | 272, 220, 561, 972 |
| 2 | 136, 110, 561, 486 |
| 3 | 68, 55, 561, 243 |
| 11 | 68, 55, 187, 81 |
| 17 | 68, 5, 17, 81 |
| 4, 5, 1, 81 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 4 x 5 x 1 x 81 = 3635280
Therefore, the lowest common multiple of 272,220,561,972 is 3635280.
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.
272 x 220 x 561 x 972 = 32630273280
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.
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
561 : 1, 3, 11, 17, 33, 51, 187, 561
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,220,561,972, is 1.
Now, the common factors can be found like this.
272:2x 2x 2x 2x 17
220:2x 2x 5x 11
561:3x 11x 17
972:2x 2x 3x 3x 3x 3x 3
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 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 32630273280/(1x8976)
LCM = 32630273280/8976
LCM = 3635280
Thus, we can understand that the LCM of 272,220,561,972 is 3635280.
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FAQs on LCM of 272, 220, 561, 972
1. What is the LCM of 272, 220, 561, 972?
Answer: LCM of 272, 220, 561, 972 is 3635280.
2. How to calculate the LCM of 272, 220, 561, 972?
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 272, 220, 561, 972.
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}.