LCM of 850, 715, 398, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 715, 398, 918 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 850, 715, 398, 918. So, keep reading to learn more.
Given numbers are 850,715,398,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,715,398,918 is 653088150.
Find LCM of 850,715,398,918 with Prime Factorization
| 2 | 850, 715, 398, 918 |
| 5 | 425, 715, 199, 459 |
| 17 | 85, 143, 199, 459 |
| 5, 143, 199, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 5 x 143 x 199 x 27 = 653088150
Therefore, the lowest common multiple of 850,715,398,918 is 653088150.
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.
850 x 715 x 398 x 918 = 222049971000
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
715 : 1, 5, 11, 13, 55, 65, 143, 715
398 : 1, 2, 199, 398
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,715,398,918, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
715:5x 11x 13
398:2x 199
918:2x 3x 3x 3x 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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 222049971000/(1x340)
LCM = 222049971000/340
LCM = 653088150
Thus, we can understand that the LCM of 850,715,398,918 is 653088150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 850, 715, 398, 918
1. What is the LCM of 850, 715, 398, 918?
Answer: LCM of 850, 715, 398, 918 is 653088150.
2. How to calculate the LCM of 850, 715, 398, 918?
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 850, 715, 398, 918.
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}.