LCM of 782, 989, 765, 537, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 989, 765, 537, 170 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 782, 989, 765, 537, 170. So, keep reading to learn more.
Given numbers are 782,989,765,537,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,989,765,537,170 is 270857430.
Find LCM of 782,989,765,537,170 with Prime Factorization
| 2 | 782, 989, 765, 537, 170 |
| 3 | 391, 989, 765, 537, 85 |
| 5 | 391, 989, 255, 179, 85 |
| 17 | 391, 989, 51, 179, 17 |
| 23 | 23, 989, 3, 179, 1 |
| 1, 43, 3, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 23 x 1 x 43 x 3 x 179 x 1 = 270857430
Therefore, the lowest common multiple of 782,989,765,537,170 is 270857430.
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.
782 x 989 x 765 x 537 x 170 = 54011680116300
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
989 : 1, 23, 43, 989
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
537 : 1, 3, 179, 537
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,989,765,537,170, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
989:23x 43
765:3x 3x 5x 17
537:3x 179
170:2x 5x 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 3x 5x 17x 17x 23 = 199410
Therefore, the value for common factors is 199410.
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 = 54011680116300/(1x199410)
LCM = 54011680116300/199410
LCM = 270857430
Thus, we can understand that the LCM of 782,989,765,537,170 is 270857430.
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FAQs on LCM of 782, 989, 765, 537, 170
1. What is the LCM of 782, 989, 765, 537, 170?
Answer: LCM of 782, 989, 765, 537, 170 is 270857430.
2. How to calculate the LCM of 782, 989, 765, 537, 170?
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 782, 989, 765, 537, 170.
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}.