LCM of 843, 584, 949, 472, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 584, 949, 472, 586 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, 584, 949, 472, 586. So, keep reading to learn more.
Given numbers are 843,584,949,472,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,584,949,472,586 is 110637768072.
Find LCM of 843,584,949,472,586 with Prime Factorization
| 2 | 843, 584, 949, 472, 586 |
| 2 | 843, 292, 949, 236, 293 |
| 2 | 843, 146, 949, 118, 293 |
| 73 | 843, 73, 949, 59, 293 |
| 843, 1, 13, 59, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 73 x 843 x 1 x 13 x 59 x 293 = 110637768072
Therefore, the lowest common multiple of 843,584,949,472,586 is 110637768072.
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 584 x 949 x 472 x 586 = 129224913108096
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
949 : 1, 13, 73, 949
472 : 1, 2, 4, 8, 59, 118, 236, 472
586 : 1, 2, 293, 586
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,584,949,472,586, is 1.
Now, the common factors can be found like this.
843:3x 281
584:2x 2x 2x 73
949:13x 73
472:2x 2x 2x 59
586:2x 293
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 73 = 1168
Therefore, the value for common factors is 1168.
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 = 129224913108096/(1x1168)
LCM = 129224913108096/1168
LCM = 110637768072
Thus, we can understand that the LCM of 843,584,949,472,586 is 110637768072.
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FAQs on LCM of 843, 584, 949, 472, 586
1. What is the LCM of 843, 584, 949, 472, 586?
Answer: LCM of 843, 584, 949, 472, 586 is 110637768072.
2. How to calculate the LCM of 843, 584, 949, 472, 586?
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, 584, 949, 472, 586.
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}.