LCM of 292, 507, 782, 867, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 507, 782, 867, 845 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, 507, 782, 867, 845. So, keep reading to learn more.
Given numbers are 292,507,782,867,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,507,782,867,845 is 4920242340.
Find LCM of 292,507,782,867,845 with Prime Factorization
| 2 | 292, 507, 782, 867, 845 |
| 3 | 146, 507, 391, 867, 845 |
| 13 | 146, 169, 391, 289, 845 |
| 13 | 146, 13, 391, 289, 65 |
| 17 | 146, 1, 391, 289, 5 |
| 146, 1, 23, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 17 x 146 x 1 x 23 x 17 x 5 = 4920242340
Therefore, the lowest common multiple of 292,507,782,867,845 is 4920242340.
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 507 x 782 x 867 x 845 = 84815137456920
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
507 : 1, 3, 13, 39, 169, 507
782 : 1, 2, 17, 23, 34, 46, 391, 782
867 : 1, 3, 17, 51, 289, 867
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,507,782,867,845, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
507:3x 13x 13
782:2x 17x 23
867:3x 17x 17
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 13x 17 = 17238
Therefore, the value for common factors is 17238.
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 = 84815137456920/(1x17238)
LCM = 84815137456920/17238
LCM = 4920242340
Thus, we can understand that the LCM of 292,507,782,867,845 is 4920242340.
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FAQs on LCM of 292, 507, 782, 867, 845
1. What is the LCM of 292, 507, 782, 867, 845?
Answer: LCM of 292, 507, 782, 867, 845 is 4920242340.
2. How to calculate the LCM of 292, 507, 782, 867, 845?
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, 507, 782, 867, 845.
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}.