LCM of 460, 615, 538, 868, 392
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 460, 615, 538, 868, 392 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, 615, 538, 868, 392. So, keep reading to learn more.
Given numbers are 460,615,538,868,392
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 460,615,538,868,392 is 46238420760.
Find LCM of 460,615,538,868,392 with Prime Factorization
| 2 | 460, 615, 538, 868, 392 |
| 2 | 230, 615, 269, 434, 196 |
| 5 | 115, 615, 269, 217, 98 |
| 7 | 23, 123, 269, 217, 98 |
| 23, 123, 269, 31, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 23 x 123 x 269 x 31 x 14 = 46238420760
Therefore, the lowest common multiple of 460,615,538,868,392 is 46238420760.
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 615 x 538 x 868 x 392 = 51787031251200
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
615 : 1, 3, 5, 15, 41, 123, 205, 615
538 : 1, 2, 269, 538
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,615,538,868,392, is 1.
Now, the common factors can be found like this.
460:2x 2x 5x 23
615:3x 5x 41
538:2x 269
868:2x 2x 7x 31
392:2x 2x 2x 7x 7
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 5x 7 = 1120
Therefore, the value for common factors is 1120.
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 = 51787031251200/(1x1120)
LCM = 51787031251200/1120
LCM = 46238420760
Thus, we can understand that the LCM of 460,615,538,868,392 is 46238420760.
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FAQs on LCM of 460, 615, 538, 868, 392
1. What is the LCM of 460, 615, 538, 868, 392?
Answer: LCM of 460, 615, 538, 868, 392 is 46238420760.
2. How to calculate the LCM of 460, 615, 538, 868, 392?
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, 615, 538, 868, 392.
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}.