LCM of 978, 687, 105, 120, 740
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 687, 105, 120, 740 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 978, 687, 105, 120, 740. So, keep reading to learn more.
Given numbers are 978,687,105,120,740
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,687,105,120,740 is 1160123160.
Find LCM of 978,687,105,120,740 with Prime Factorization
| 2 | 978, 687, 105, 120, 740 |
| 2 | 489, 687, 105, 60, 370 |
| 3 | 489, 687, 105, 30, 185 |
| 5 | 163, 229, 35, 10, 185 |
| 163, 229, 7, 2, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 163 x 229 x 7 x 2 x 37 = 1160123160
Therefore, the lowest common multiple of 978,687,105,120,740 is 1160123160.
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.
978 x 687 x 105 x 120 x 740 = 6264665064000
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
687 : 1, 3, 229, 687
105 : 1, 3, 5, 7, 15, 21, 35, 105
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,687,105,120,740, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
687:3x 229
105:3x 5x 7
120:2x 2x 2x 3x 5
740:2x 2x 5x 37
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 3x 3x 3x 5x 5 = 5400
Therefore, the value for common factors is 5400.
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 = 6264665064000/(1x5400)
LCM = 6264665064000/5400
LCM = 1160123160
Thus, we can understand that the LCM of 978,687,105,120,740 is 1160123160.
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FAQs on LCM of 978, 687, 105, 120, 740
1. What is the LCM of 978, 687, 105, 120, 740?
Answer: LCM of 978, 687, 105, 120, 740 is 1160123160.
2. How to calculate the LCM of 978, 687, 105, 120, 740?
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 978, 687, 105, 120, 740.
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}.