LCM of 992, 224, 616, 631, 503
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 224, 616, 631, 503 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 992, 224, 616, 631, 503. So, keep reading to learn more.
Given numbers are 992,224,616,631,503
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,224,616,631,503 is 24243746912.
Find LCM of 992,224,616,631,503 with Prime Factorization
| 2 | 992, 224, 616, 631, 503 |
| 2 | 496, 112, 308, 631, 503 |
| 2 | 248, 56, 154, 631, 503 |
| 2 | 124, 28, 77, 631, 503 |
| 2 | 62, 14, 77, 631, 503 |
| 7 | 31, 7, 77, 631, 503 |
| 31, 1, 11, 631, 503 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 7 x 31 x 1 x 11 x 631 x 503 = 24243746912
Therefore, the lowest common multiple of 992,224,616,631,503 is 24243746912.
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.
992 x 224 x 616 x 631 x 503 = 43444794466304
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.
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
631 : 1, 631
503 : 1, 503
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,224,616,631,503, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
224:2x 2x 2x 2x 2x 7
616:2x 2x 2x 7x 11
631:631
503:503
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 2x 2x 7 = 1792
Therefore, the value for common factors is 1792.
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 = 43444794466304/(1x1792)
LCM = 43444794466304/1792
LCM = 24243746912
Thus, we can understand that the LCM of 992,224,616,631,503 is 24243746912.
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FAQs on LCM of 992, 224, 616, 631, 503
1. What is the LCM of 992, 224, 616, 631, 503?
Answer: LCM of 992, 224, 616, 631, 503 is 24243746912.
2. How to calculate the LCM of 992, 224, 616, 631, 503?
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 992, 224, 616, 631, 503.
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}.