LCM of 991, 745, 436, 262, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 991, 745, 436, 262, 894 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 991, 745, 436, 262, 894. So, keep reading to learn more.
Given numbers are 991,745,436,262,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 991,745,436,262,894 is 126505371660.
Find LCM of 991,745,436,262,894 with Prime Factorization
| 2 | 991, 745, 436, 262, 894 |
| 149 | 991, 745, 218, 131, 447 |
| 991, 5, 218, 131, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 149 x 991 x 5 x 218 x 131 x 3 = 126505371660
Therefore, the lowest common multiple of 991,745,436,262,894 is 126505371660.
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.
991 x 745 x 436 x 262 x 894 = 75397201509360
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.
991 : 1, 991
745 : 1, 5, 149, 745
436 : 1, 2, 4, 109, 218, 436
262 : 1, 2, 131, 262
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,745,436,262,894, is 1.
Now, the common factors can be found like this.
991:991
745:5x 149
436:2x 2x 109
262:2x 131
894:2x 3x 149
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 149 = 596
Therefore, the value for common factors is 596.
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 = 75397201509360/(1x596)
LCM = 75397201509360/596
LCM = 126505371660
Thus, we can understand that the LCM of 991,745,436,262,894 is 126505371660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 991, 745, 436, 262, 894
1. What is the LCM of 991, 745, 436, 262, 894?
Answer: LCM of 991, 745, 436, 262, 894 is 126505371660.
2. How to calculate the LCM of 991, 745, 436, 262, 894?
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 991, 745, 436, 262, 894.
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}.