LCM of 978, 162, 782, 740, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 162, 782, 740, 748 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, 162, 782, 740, 748. So, keep reading to learn more.
Given numbers are 978,162,782,740,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,162,782,740,748 is 42021716220.
Find LCM of 978,162,782,740,748 with Prime Factorization
| 2 | 978, 162, 782, 740, 748 |
| 2 | 489, 81, 391, 370, 374 |
| 3 | 489, 81, 391, 185, 187 |
| 17 | 163, 27, 391, 185, 187 |
| 163, 27, 23, 185, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 163 x 27 x 23 x 185 x 11 = 42021716220
Therefore, the lowest common multiple of 978,162,782,740,748 is 42021716220.
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 162 x 782 x 740 x 748 = 68579440871040
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
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
782 : 1, 2, 17, 23, 34, 46, 391, 782
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,162,782,740,748, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
162:2x 3x 3x 3x 3
782:2x 17x 23
740:2x 2x 5x 37
748:2x 2x 11x 17
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 68579440871040/(2x816)
LCM = 68579440871040/1632
LCM = 42021716220
Thus, we can understand that the LCM of 978,162,782,740,748 is 42021716220.
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FAQs on LCM of 978, 162, 782, 740, 748
1. What is the LCM of 978, 162, 782, 740, 748?
Answer: LCM of 978, 162, 782, 740, 748 is 42021716220.
2. How to calculate the LCM of 978, 162, 782, 740, 748?
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, 162, 782, 740, 748.
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}.