LCM of 843, 950, 743, 513, 880
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 950, 743, 513, 880 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 843, 950, 743, 513, 880. So, keep reading to learn more.
Given numbers are 843,950,743,513,880
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,950,743,513,880 is 471264987600.
Find LCM of 843,950,743,513,880 with Prime Factorization
| 2 | 843, 950, 743, 513, 880 |
| 3 | 843, 475, 743, 513, 440 |
| 5 | 281, 475, 743, 171, 440 |
| 19 | 281, 95, 743, 171, 88 |
| 281, 5, 743, 9, 88 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 281 x 5 x 743 x 9 x 88 = 471264987600
Therefore, the lowest common multiple of 843,950,743,513,880 is 471264987600.
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.
843 x 950 x 743 x 513 x 880 = 268621042932000
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.
843 : 1, 3, 281, 843
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
743 : 1, 743
513 : 1, 3, 9, 19, 27, 57, 171, 513
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,950,743,513,880, is 1.
Now, the common factors can be found like this.
843:3x 281
950:2x 5x 5x 19
743:743
513:3x 3x 3x 19
880:2x 2x 2x 2x 5x 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 3x 5x 19 = 570
Therefore, the value for common factors is 570.
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 = 268621042932000/(1x570)
LCM = 268621042932000/570
LCM = 471264987600
Thus, we can understand that the LCM of 843,950,743,513,880 is 471264987600.
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FAQs on LCM of 843, 950, 743, 513, 880
1. What is the LCM of 843, 950, 743, 513, 880?
Answer: LCM of 843, 950, 743, 513, 880 is 471264987600.
2. How to calculate the LCM of 843, 950, 743, 513, 880?
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 843, 950, 743, 513, 880.
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}.