LCM of 293, 378, 189, 322, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 378, 189, 322, 978 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, 378, 189, 322, 978. So, keep reading to learn more.
Given numbers are 293,378,189,322,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,378,189,322,978 is 415216746.
Find LCM of 293,378,189,322,978 with Prime Factorization
| 2 | 293, 378, 189, 322, 978 |
| 3 | 293, 189, 189, 161, 489 |
| 3 | 293, 63, 63, 161, 163 |
| 3 | 293, 21, 21, 161, 163 |
| 7 | 293, 7, 7, 161, 163 |
| 293, 1, 1, 23, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 293 x 1 x 1 x 23 x 163 = 415216746
Therefore, the lowest common multiple of 293,378,189,322,978 is 415216746.
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 378 x 189 x 322 x 978 = 6591981059496
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
189 : 1, 3, 7, 9, 21, 27, 63, 189
322 : 1, 2, 7, 14, 23, 46, 161, 322
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,378,189,322,978, is 1.
Now, the common factors can be found like this.
293:293
378:2x 3x 3x 3x 7
189:3x 3x 3x 7
322:2x 7x 23
978:2x 3x 163
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 3x 3x 3x 3x 7x 7 = 15876
Therefore, the value for common factors is 15876.
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 = 6591981059496/(1x15876)
LCM = 6591981059496/15876
LCM = 415216746
Thus, we can understand that the LCM of 293,378,189,322,978 is 415216746.
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FAQs on LCM of 293, 378, 189, 322, 978
1. What is the LCM of 293, 378, 189, 322, 978?
Answer: LCM of 293, 378, 189, 322, 978 is 415216746.
2. How to calculate the LCM of 293, 378, 189, 322, 978?
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, 378, 189, 322, 978.
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}.