LCM of 292, 516, 932, 460, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 516, 932, 460, 900 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 292, 516, 932, 460, 900. So, keep reading to learn more.
Given numbers are 292,516,932,460,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,516,932,460,900 is 15139710900.
Find LCM of 292,516,932,460,900 with Prime Factorization
| 2 | 292, 516, 932, 460, 900 |
| 2 | 146, 258, 466, 230, 450 |
| 3 | 73, 129, 233, 115, 225 |
| 5 | 73, 43, 233, 115, 75 |
| 73, 43, 233, 23, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 73 x 43 x 233 x 23 x 15 = 15139710900
Therefore, the lowest common multiple of 292,516,932,460,900 is 15139710900.
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.
292 x 516 x 932 x 460 x 900 = 58136489856000
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.
292 : 1, 2, 4, 73, 146, 292
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
932 : 1, 2, 4, 233, 466, 932
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,516,932,460,900, is 4.
Now, the common factors can be found like this.
292:2x 2x 73
516:2x 2x 3x 43
932:2x 2x 233
460:2x 2x 5x 23
900:2x 2x 3x 3x 5x 5
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 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 58136489856000/(4x960)
LCM = 58136489856000/3840
LCM = 15139710900
Thus, we can understand that the LCM of 292,516,932,460,900 is 15139710900.
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FAQs on LCM of 292, 516, 932, 460, 900
1. What is the LCM of 292, 516, 932, 460, 900?
Answer: LCM of 292, 516, 932, 460, 900 is 15139710900.
2. How to calculate the LCM of 292, 516, 932, 460, 900?
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 292, 516, 932, 460, 900.
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}.