LCM of 460, 888, 824, 786, 586
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 888, 824, 786, 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 460, 888, 824, 786, 586. So, keep reading to learn more.
Given numbers are 460,888,824,786,586
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,888,824,786,586 is 403726211880.
Find LCM of 460,888,824,786,586 with Prime Factorization
| 2 | 460, 888, 824, 786, 586 |
| 2 | 230, 444, 412, 393, 293 |
| 2 | 115, 222, 206, 393, 293 |
| 3 | 115, 111, 103, 393, 293 |
| 115, 37, 103, 131, 293 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 115 x 37 x 103 x 131 x 293 = 403726211880
Therefore, the lowest common multiple of 460,888,824,786,586 is 403726211880.
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.
460 x 888 x 824 x 786 x 586 = 155030865361920
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.
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
824 : 1, 2, 4, 8, 103, 206, 412, 824
786 : 1, 2, 3, 6, 131, 262, 393, 786
586 : 1, 2, 293, 586
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,888,824,786,586, is 2.
Now, the common factors can be found like this.
460:2x 2x 5x 23
888:2x 2x 2x 3x 37
824:2x 2x 2x 103
786:2x 3x 131
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 155030865361920/(2x192)
LCM = 155030865361920/384
LCM = 403726211880
Thus, we can understand that the LCM of 460,888,824,786,586 is 403726211880.
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FAQs on LCM of 460, 888, 824, 786, 586
1. What is the LCM of 460, 888, 824, 786, 586?
Answer: LCM of 460, 888, 824, 786, 586 is 403726211880.
2. How to calculate the LCM of 460, 888, 824, 786, 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 460, 888, 824, 786, 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}.