LCM of 933, 531, 884, 564, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 531, 884, 564, 987 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 933, 531, 884, 564, 987. So, keep reading to learn more.
Given numbers are 933,531,884,564,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,531,884,564,987 is 48028947876.
Find LCM of 933,531,884,564,987 with Prime Factorization
| 2 | 933, 531, 884, 564, 987 |
| 2 | 933, 531, 442, 282, 987 |
| 3 | 933, 531, 221, 141, 987 |
| 47 | 311, 177, 221, 47, 329 |
| 311, 177, 221, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 311 x 177 x 221 x 1 x 7 = 48028947876
Therefore, the lowest common multiple of 933,531,884,564,987 is 48028947876.
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.
933 x 531 x 884 x 564 x 987 = 243794939418576
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.
933 : 1, 3, 311, 933
531 : 1, 3, 9, 59, 177, 531
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,531,884,564,987, is 1.
Now, the common factors can be found like this.
933:3x 311
531:3x 3x 59
884:2x 2x 13x 17
564:2x 2x 3x 47
987:3x 7x 47
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 47 = 5076
Therefore, the value for common factors is 5076.
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 = 243794939418576/(1x5076)
LCM = 243794939418576/5076
LCM = 48028947876
Thus, we can understand that the LCM of 933,531,884,564,987 is 48028947876.
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FAQs on LCM of 933, 531, 884, 564, 987
1. What is the LCM of 933, 531, 884, 564, 987?
Answer: LCM of 933, 531, 884, 564, 987 is 48028947876.
2. How to calculate the LCM of 933, 531, 884, 564, 987?
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 933, 531, 884, 564, 987.
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}.