LCM of 984, 656, 663, 472, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 984, 656, 663, 472, 927 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 984, 656, 663, 472, 927. So, keep reading to learn more.
Given numbers are 984,656,663,472,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 984,656,663,472,927 is 7929172368.
Find LCM of 984,656,663,472,927 with Prime Factorization
| 2 | 984, 656, 663, 472, 927 |
| 2 | 492, 328, 663, 236, 927 |
| 2 | 246, 164, 663, 118, 927 |
| 3 | 123, 82, 663, 59, 927 |
| 41 | 41, 82, 221, 59, 309 |
| 1, 2, 221, 59, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 1 x 2 x 221 x 59 x 309 = 7929172368
Therefore, the lowest common multiple of 984,656,663,472,927 is 7929172368.
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.
984 x 656 x 663 x 472 x 927 = 187255334642688
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.
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
663 : 1, 3, 13, 17, 39, 51, 221, 663
472 : 1, 2, 4, 8, 59, 118, 236, 472
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,656,663,472,927, is 1.
Now, the common factors can be found like this.
984:2x 2x 2x 3x 41
656:2x 2x 2x 2x 41
663:3x 13x 17
472:2x 2x 2x 59
927:3x 3x 103
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 41 = 23616
Therefore, the value for common factors is 23616.
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 = 187255334642688/(1x23616)
LCM = 187255334642688/23616
LCM = 7929172368
Thus, we can understand that the LCM of 984,656,663,472,927 is 7929172368.
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FAQs on LCM of 984, 656, 663, 472, 927
1. What is the LCM of 984, 656, 663, 472, 927?
Answer: LCM of 984, 656, 663, 472, 927 is 7929172368.
2. How to calculate the LCM of 984, 656, 663, 472, 927?
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 984, 656, 663, 472, 927.
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}.