LCM of 106 and 196 is equal to 10388. The comprehensive work provides more insight of how to find what is the lcm of 106 and 196 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 106 and 196?
lcm (106 196) = (?)
106 => 2 x 53
196 => 2 x 2 x 7 x 7
= 2 x 53 x 2 x 7 x 7
= 10388
lcm (106 and 196) = 10388
10388 is the lcm of 106 and 196.
where,
106 is a positive integer,
196 is a positive integer,
10388 is the lcm of 106 and 196,
{2} in {2 x 53, 2 x 2 x 7 x 7} is the common factors of 106 and 196,
{53 x 2 x 7 x 7} in {2 x 53, 2 x 2 x 7 x 7} are the uncommon factors of 106 and 196.
Use in Mathematics: LCM of 106 and 196
The below are some of the mathematical applications where lcm of 106 and 196 can be used:
The below solved example with step by step work shows how to find what is the lcm of 106 and 196 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 106 and 196?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 106
B = 196
What to be found:
find the lcm of 106 and 196
step 2 Find the prime factors of 106 and 196:
Prime factors of 106 = 2 x 53
Prime factors of 196 = 2 x 2 x 7 x 7
step 3 Identify the repeated and non-repeated prime factors of 106 and 196:
{2} is the most repeated factor and {53 x 2 x 7 x 7} are the non-repeated factors of 106 and 196.
step 4 Find the product of repeated and non-repeated prime factors of 106 and 196:
= 2 x 53 x 2 x 7 x 7
= 10388
lcm(106 and 196) = 10388
Hence,
lcm of 106 and 196 is 10388
2 | 106 | 196 |
2 | 53 | 98 |
7 | 53 | 49 |
7 | 53 | 7 |
53 | 53 | 1 |
1 | 1 |