LCM of 287, 714, 986, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 714, 986, 850 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 287, 714, 986, 850. So, keep reading to learn more.
Given numbers are 287,714,986,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,714,986,850 is 21223650.
Find LCM of 287,714,986,850 with Prime Factorization
| 2 | 287, 714, 986, 850 |
| 7 | 287, 357, 493, 425 |
| 17 | 41, 51, 493, 425 |
| 41, 3, 29, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 41 x 3 x 29 x 25 = 21223650
Therefore, the lowest common multiple of 287,714,986,850 is 21223650.
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.
287 x 714 x 986 x 850 = 171741775800
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.
287 : 1, 7, 41, 287
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
986 : 1, 2, 17, 29, 34, 58, 493, 986
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,714,986,850, is 1.
Now, the common factors can be found like this.
287:7x 41
714:2x 3x 7x 17
986:2x 17x 29
850:2x 5x 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 2x 7x 17x 17 = 8092
Therefore, the value for common factors is 8092.
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 = 171741775800/(1x8092)
LCM = 171741775800/8092
LCM = 21223650
Thus, we can understand that the LCM of 287,714,986,850 is 21223650.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 287, 714, 986, 850
1. What is the LCM of 287, 714, 986, 850?
Answer: LCM of 287, 714, 986, 850 is 21223650.
2. How to calculate the LCM of 287, 714, 986, 850?
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 287, 714, 986, 850.
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}.