LCM of 293, 590, 978, 852, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 590, 978, 852, 604 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 293, 590, 978, 852, 604. So, keep reading to learn more.
Given numbers are 293,590,978,852,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,590,978,852,604 is 1812565806060.
Find LCM of 293,590,978,852,604 with Prime Factorization
| 2 | 293, 590, 978, 852, 604 |
| 2 | 293, 295, 489, 426, 302 |
| 3 | 293, 295, 489, 213, 151 |
| 293, 295, 163, 71, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 293 x 295 x 163 x 71 x 151 = 1812565806060
Therefore, the lowest common multiple of 293,590,978,852,604 is 1812565806060.
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.
293 x 590 x 978 x 852 x 604 = 87003158690880
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.
293 : 1, 293
590 : 1, 2, 5, 10, 59, 118, 295, 590
978 : 1, 2, 3, 6, 163, 326, 489, 978
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,590,978,852,604, is 1.
Now, the common factors can be found like this.
293:293
590:2x 5x 59
978:2x 3x 163
852:2x 2x 3x 71
604:2x 2x 151
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 3 = 48
Therefore, the value for common factors is 48.
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 = 87003158690880/(1x48)
LCM = 87003158690880/48
LCM = 1812565806060
Thus, we can understand that the LCM of 293,590,978,852,604 is 1812565806060.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 293, 590, 978, 852, 604
1. What is the LCM of 293, 590, 978, 852, 604?
Answer: LCM of 293, 590, 978, 852, 604 is 1812565806060.
2. How to calculate the LCM of 293, 590, 978, 852, 604?
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 293, 590, 978, 852, 604.
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}.