LCM of 850, 279, 997, 837, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 850, 279, 997, 837, 451 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, 279, 997, 837, 451. So, keep reading to learn more.
Given numbers are 850,279,997,837,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,279,997,837,451 is 319901358150.
Find LCM of 850,279,997,837,451 with Prime Factorization
| 3 | 850, 279, 997, 837, 451 |
| 3 | 850, 93, 997, 279, 451 |
| 31 | 850, 31, 997, 93, 451 |
| 850, 1, 997, 3, 451 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 31 x 850 x 1 x 997 x 3 x 451 = 319901358150
Therefore, the lowest common multiple of 850,279,997,837,451 is 319901358150.
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 279 x 997 x 837 x 451 = 89252478923850
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
279 : 1, 3, 9, 31, 93, 279
997 : 1, 997
837 : 1, 3, 9, 27, 31, 93, 279, 837
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,279,997,837,451, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
279:3x 3x 31
997:997
837:3x 3x 3x 31
451:11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 31 = 279
Therefore, the value for common factors is 279.
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 = 89252478923850/(1x279)
LCM = 89252478923850/279
LCM = 319901358150
Thus, we can understand that the LCM of 850,279,997,837,451 is 319901358150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 850, 279, 997, 837, 451
1. What is the LCM of 850, 279, 997, 837, 451?
Answer: LCM of 850, 279, 997, 837, 451 is 319901358150.
2. How to calculate the LCM of 850, 279, 997, 837, 451?
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, 279, 997, 837, 451.
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}.