LCM of 718, 917, 986, 262, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 718, 917, 986, 262, 930 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 718, 917, 986, 262, 930. So, keep reading to learn more.
Given numbers are 718,917,986,262,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 718,917,986,262,930 is 150936283470.
Find LCM of 718,917,986,262,930 with Prime Factorization
| 2 | 718, 917, 986, 262, 930 |
| 131 | 359, 917, 493, 131, 465 |
| 359, 7, 493, 1, 465 |
Multiply the prime numbers at the bottom and the left side.
2 x 131 x 359 x 7 x 493 x 1 x 465 = 150936283470
Therefore, the lowest common multiple of 718,917,986,262,930 is 150936283470.
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.
718 x 917 x 986 x 262 x 930 = 158181225076560
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.
718 : 1, 2, 359, 718
917 : 1, 7, 131, 917
986 : 1, 2, 17, 29, 34, 58, 493, 986
262 : 1, 2, 131, 262
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 718,917,986,262,930, is 1.
Now, the common factors can be found like this.
718:2x 359
917:7x 131
986:2x 17x 29
262:2x 131
930:2x 3x 5x 31
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 131 = 1048
Therefore, the value for common factors is 1048.
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 = 158181225076560/(1x1048)
LCM = 158181225076560/1048
LCM = 150936283470
Thus, we can understand that the LCM of 718,917,986,262,930 is 150936283470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 718, 917, 986, 262, 930
1. What is the LCM of 718, 917, 986, 262, 930?
Answer: LCM of 718, 917, 986, 262, 930 is 150936283470.
2. How to calculate the LCM of 718, 917, 986, 262, 930?
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 718, 917, 986, 262, 930.
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}.