LCM of 641, 453, 148, 880, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 641, 453, 148, 880, 985 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 641, 453, 148, 880, 985. So, keep reading to learn more.
Given numbers are 641,453,148,880,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 641,453,148,880,985 is 1862545341360.
Find LCM of 641,453,148,880,985 with Prime Factorization
| 2 | 641, 453, 148, 880, 985 |
| 2 | 641, 453, 74, 440, 985 |
| 5 | 641, 453, 37, 220, 985 |
| 641, 453, 37, 44, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 641 x 453 x 37 x 44 x 197 = 1862545341360
Therefore, the lowest common multiple of 641,453,148,880,985 is 1862545341360.
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.
641 x 453 x 148 x 880 x 985 = 37250906827200
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.
641 : 1, 641
453 : 1, 3, 151, 453
148 : 1, 2, 4, 37, 74, 148
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 641,453,148,880,985, is 1.
Now, the common factors can be found like this.
641:641
453:3x 151
148:2x 2x 37
880:2x 2x 2x 2x 5x 11
985:5x 197
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 5 = 20
Therefore, the value for common factors is 20.
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 = 37250906827200/(1x20)
LCM = 37250906827200/20
LCM = 1862545341360
Thus, we can understand that the LCM of 641,453,148,880,985 is 1862545341360.
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FAQs on LCM of 641, 453, 148, 880, 985
1. What is the LCM of 641, 453, 148, 880, 985?
Answer: LCM of 641, 453, 148, 880, 985 is 1862545341360.
2. How to calculate the LCM of 641, 453, 148, 880, 985?
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 641, 453, 148, 880, 985.
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}.