LCM of 993, 128, 756, 203, 613
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 128, 756, 203, 613 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, 128, 756, 203, 613. So, keep reading to learn more.
Given numbers are 993,128,756,203,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,128,756,203,613 is 142350251904.
Find LCM of 993,128,756,203,613 with Prime Factorization
| 2 | 993, 128, 756, 203, 613 |
| 2 | 993, 64, 378, 203, 613 |
| 3 | 993, 32, 189, 203, 613 |
| 7 | 331, 32, 63, 203, 613 |
| 331, 32, 9, 29, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 331 x 32 x 9 x 29 x 613 = 142350251904
Therefore, the lowest common multiple of 993,128,756,203,613 is 142350251904.
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 128 x 756 x 203 x 613 = 11957421159936
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
128 : 1, 2, 4, 8, 16, 32, 64, 128
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
203 : 1, 7, 29, 203
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,128,756,203,613, is 1.
Now, the common factors can be found like this.
993:3x 331
128:2x 2x 2x 2x 2x 2x 2
756:2x 2x 3x 3x 3x 7
203:7x 29
613:613
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 7 = 84
Therefore, the value for common factors is 84.
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 = 11957421159936/(1x84)
LCM = 11957421159936/84
LCM = 142350251904
Thus, we can understand that the LCM of 993,128,756,203,613 is 142350251904.
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FAQs on LCM of 993, 128, 756, 203, 613
1. What is the LCM of 993, 128, 756, 203, 613?
Answer: LCM of 993, 128, 756, 203, 613 is 142350251904.
2. How to calculate the LCM of 993, 128, 756, 203, 613?
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, 128, 756, 203, 613.
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}.