LCM of 104 and 195 is equal to 1560. The comprehensive work provides more insight of how to find what is the lcm of 104 and 195 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 104 and 195?
lcm (104 195) = (?)
104 => 2 x 2 x 2 x 13
195 => 3 x 5 x 13
= 13 x 2 x 2 x 2 x 3 x 5
= 1560
lcm (104 and 195) = 1560
1560 is the lcm of 104 and 195.
where,
104 is a positive integer,
195 is a positive integer,
1560 is the lcm of 104 and 195,
{13} in {2 x 2 x 2 x 13, 3 x 5 x 13} is the common factors of 104 and 195,
{2 x 2 x 2 x 3 x 5} in {2 x 2 x 2 x 13, 3 x 5 x 13} are the uncommon factors of 104 and 195.
Use in Mathematics: LCM of 104 and 195
The below are some of the mathematical applications where lcm of 104 and 195 can be used:
The below solved example with step by step work shows how to find what is the lcm of 104 and 195 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 104 and 195?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 104
B = 195
What to be found:
find the lcm of 104 and 195
step 2 Find the prime factors of 104 and 195:
Prime factors of 104 = 2 x 2 x 2 x 13
Prime factors of 195 = 3 x 5 x 13
step 3 Identify the repeated and non-repeated prime factors of 104 and 195:
{13} is the most repeated factor and {2 x 2 x 2 x 3 x 5} are the non-repeated factors of 104 and 195.
step 4 Find the product of repeated and non-repeated prime factors of 104 and 195:
= 13 x 2 x 2 x 2 x 3 x 5
= 1560
lcm(104 and 195) = 1560
Hence,
lcm of 104 and 195 is 1560
2 | 104 | 195 |
2 | 52 | 195 |
2 | 26 | 195 |
3 | 13 | 195 |
5 | 13 | 65 |
13 | 13 | 13 |
1 | 1 |