LCM of 992, 627, 436, 751, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 992, 627, 436, 751, 616 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, 627, 436, 751, 616. So, keep reading to learn more.
Given numbers are 992,627,436,751,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 992,627,436,751,616 is 356404917792.
Find LCM of 992,627,436,751,616 with Prime Factorization
| 2 | 992, 627, 436, 751, 616 |
| 2 | 496, 627, 218, 751, 308 |
| 2 | 248, 627, 109, 751, 154 |
| 11 | 124, 627, 109, 751, 77 |
| 124, 57, 109, 751, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 124 x 57 x 109 x 751 x 7 = 356404917792
Therefore, the lowest common multiple of 992,627,436,751,616 is 356404917792.
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 627 x 436 x 751 x 616 = 125454531062784
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
627 : 1, 3, 11, 19, 33, 57, 209, 627
436 : 1, 2, 4, 109, 218, 436
751 : 1, 751
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,627,436,751,616, is 1.
Now, the common factors can be found like this.
992:2x 2x 2x 2x 2x 31
627:3x 11x 19
436:2x 2x 109
751:751
616:2x 2x 2x 7x 11
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 11 = 352
Therefore, the value for common factors is 352.
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 = 125454531062784/(1x352)
LCM = 125454531062784/352
LCM = 356404917792
Thus, we can understand that the LCM of 992,627,436,751,616 is 356404917792.
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FAQs on LCM of 992, 627, 436, 751, 616
1. What is the LCM of 992, 627, 436, 751, 616?
Answer: LCM of 992, 627, 436, 751, 616 is 356404917792.
2. How to calculate the LCM of 992, 627, 436, 751, 616?
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, 627, 436, 751, 616.
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}.