LCM of 849, 751, 966, 560, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 751, 966, 560, 736 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 849, 751, 966, 560, 736. So, keep reading to learn more.
Given numbers are 849,751,966,560,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,751,966,560,736 is 16424550240.
Find LCM of 849,751,966,560,736 with Prime Factorization
| 2 | 849, 751, 966, 560, 736 |
| 2 | 849, 751, 483, 280, 368 |
| 2 | 849, 751, 483, 140, 184 |
| 2 | 849, 751, 483, 70, 92 |
| 3 | 849, 751, 483, 35, 46 |
| 7 | 283, 751, 161, 35, 46 |
| 23 | 283, 751, 23, 5, 46 |
| 283, 751, 1, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 23 x 283 x 751 x 1 x 5 x 2 = 16424550240
Therefore, the lowest common multiple of 849,751,966,560,736 is 16424550240.
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.
849 x 751 x 966 x 560 x 736 = 253857848509440
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.
849 : 1, 3, 283, 849
751 : 1, 751
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,751,966,560,736, is 1.
Now, the common factors can be found like this.
849:3x 283
751:751
966:2x 3x 7x 23
560:2x 2x 2x 2x 5x 7
736:2x 2x 2x 2x 2x 23
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 3x 7x 23 = 15456
Therefore, the value for common factors is 15456.
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 = 253857848509440/(1x15456)
LCM = 253857848509440/15456
LCM = 16424550240
Thus, we can understand that the LCM of 849,751,966,560,736 is 16424550240.
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FAQs on LCM of 849, 751, 966, 560, 736
1. What is the LCM of 849, 751, 966, 560, 736?
Answer: LCM of 849, 751, 966, 560, 736 is 16424550240.
2. How to calculate the LCM of 849, 751, 966, 560, 736?
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 849, 751, 966, 560, 736.
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}.