LCM of 993, 978, 756, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 978, 756, 868 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 993, 978, 756, 868. So, keep reading to learn more.
Given numbers are 993,978,756,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,978,756,868 is 1264442508.
Find LCM of 993,978,756,868 with Prime Factorization
| 2 | 993, 978, 756, 868 |
| 2 | 993, 489, 378, 434 |
| 3 | 993, 489, 189, 217 |
| 7 | 331, 163, 63, 217 |
| 331, 163, 9, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 331 x 163 x 9 x 31 = 1264442508
Therefore, the lowest common multiple of 993,978,756,868 is 1264442508.
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.
993 x 978 x 756 x 868 = 637279024032
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.
993 : 1, 3, 331, 993
978 : 1, 2, 3, 6, 163, 326, 489, 978
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,978,756,868, is 1.
Now, the common factors can be found like this.
993:3x 331
978:2x 3x 163
756:2x 2x 3x 3x 3x 7
868:2x 2x 7x 31
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 3x 3x 7 = 504
Therefore, the value for common factors is 504.
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 = 637279024032/(1x504)
LCM = 637279024032/504
LCM = 1264442508
Thus, we can understand that the LCM of 993,978,756,868 is 1264442508.
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FAQs on LCM of 993, 978, 756, 868
1. What is the LCM of 993, 978, 756, 868?
Answer: LCM of 993, 978, 756, 868 is 1264442508.
2. How to calculate the LCM of 993, 978, 756, 868?
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 993, 978, 756, 868.
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}.