LCM of 851, 105, 278, 343
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 105, 278, 343 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 851, 105, 278, 343. So, keep reading to learn more.
Given numbers are 851,105,278,343
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,105,278,343 is 1217193810.
Find LCM of 851,105,278,343 with Prime Factorization
| 7 | 851, 105, 278, 343 |
| 851, 15, 278, 49 |
Multiply the prime numbers at the bottom and the left side.
7 x 851 x 15 x 278 x 49 = 1217193810
Therefore, the lowest common multiple of 851,105,278,343 is 1217193810.
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.
851 x 105 x 278 x 343 = 8520356670
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.
851 : 1, 23, 37, 851
105 : 1, 3, 5, 7, 15, 21, 35, 105
278 : 1, 2, 139, 278
343 : 1, 7, 49, 343
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,105,278,343, is 1.
Now, the common factors can be found like this.
851:23x 37
105:3x 5x 7
278:2x 139
343:7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 8520356670/(1x7)
LCM = 8520356670/7
LCM = 1217193810
Thus, we can understand that the LCM of 851,105,278,343 is 1217193810.
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FAQs on LCM of 851, 105, 278, 343
1. What is the LCM of 851, 105, 278, 343?
Answer: LCM of 851, 105, 278, 343 is 1217193810.
2. How to calculate the LCM of 851, 105, 278, 343?
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 851, 105, 278, 343.
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}.