LCM of 116 and 145 is equal to 580. The comprehensive work provides more insight of how to find what is the lcm of 116 and 145 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 116 and 145?
lcm (116 145) = (?)
116 => 2 x 2 x 29
145 => 5 x 29
= 29 x 2 x 2 x 5
= 580
lcm (116 and 145) = 580
580 is the lcm of 116 and 145.
where,
116 is a positive integer,
145 is a positive integer,
580 is the lcm of 116 and 145,
{29} in {2 x 2 x 29, 5 x 29} is the common factors of 116 and 145,
{2 x 2 x 5} in {2 x 2 x 29, 5 x 29} are the uncommon factors of 116 and 145.
Use in Mathematics: LCM of 116 and 145
The below are some of the mathematical applications where lcm of 116 and 145 can be used:
The below solved example with step by step work shows how to find what is the lcm of 116 and 145 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 116 and 145?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 116
B = 145
What to be found:
find the lcm of 116 and 145
step 2 Find the prime factors of 116 and 145:
Prime factors of 116 = 2 x 2 x 29
Prime factors of 145 = 5 x 29
step 3 Identify the repeated and non-repeated prime factors of 116 and 145:
{29} is the most repeated factor and {2 x 2 x 5} are the non-repeated factors of 116 and 145.
step 4 Find the product of repeated and non-repeated prime factors of 116 and 145:
= 29 x 2 x 2 x 5
= 580
lcm(116 and 145) = 580
Hence,
lcm of 116 and 145 is 580
2 | 116 | 145 |
2 | 58 | 145 |
5 | 29 | 145 |
29 | 29 | 29 |
1 | 1 |