LCM of 498, 370, 808, 847, 835
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 370, 808, 847, 835 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 498, 370, 808, 847, 835. So, keep reading to learn more.
Given numbers are 498,370,808,847,835
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,370,808,847,835 is 5264805333480.
Find LCM of 498,370,808,847,835 with Prime Factorization
| 2 | 498, 370, 808, 847, 835 |
| 5 | 249, 185, 404, 847, 835 |
| 249, 37, 404, 847, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 249 x 37 x 404 x 847 x 167 = 5264805333480
Therefore, the lowest common multiple of 498,370,808,847,835 is 5264805333480.
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.
498 x 370 x 808 x 847 x 835 = 105296106669600
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
370 : 1, 2, 5, 10, 37, 74, 185, 370
808 : 1, 2, 4, 8, 101, 202, 404, 808
847 : 1, 7, 11, 77, 121, 847
835 : 1, 5, 167, 835
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,370,808,847,835, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
370:2x 5x 37
808:2x 2x 2x 101
847:7x 11x 11
835:5x 167
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 5 = 20
Therefore, the value for common factors is 20.
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 = 105296106669600/(1x20)
LCM = 105296106669600/20
LCM = 5264805333480
Thus, we can understand that the LCM of 498,370,808,847,835 is 5264805333480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 498, 370, 808, 847, 835
1. What is the LCM of 498, 370, 808, 847, 835?
Answer: LCM of 498, 370, 808, 847, 835 is 5264805333480.
2. How to calculate the LCM of 498, 370, 808, 847, 835?
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 498, 370, 808, 847, 835.
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}.