LCM of 7, 28 and 49 is equal to 196. The comprehensive work provides more insight of how to find what is the lcm of 7, 28 and 49 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 7, 28 and 49?
lcm (7 28 49) = (?)
7 => 7
28 => 2 x 2 x 7
49 => 7 x 7
= 7 x 2 x 2 x 7
= 196
lcm (7, 28 and 49) = 196
196 is the lcm of 7, 28 and 49.
where,
7 is a positive integer,
28 is a positive integer,
196 is the lcm of 7, 28 and 49,
{7} in {7, 2 x 2 x 7, 7 x 7} is the most repeated factors of 7, 28 and 49,
{2, 2, 7} in {7, 2 x 2 x 7, 7 x 7} are the the other remaining factors of 7, 28 and 49.
Use in Mathematics: LCM of 7, 28 and 49
The below are some of the mathematical applications where lcm of 7, 28 and 49 can be used:
The below solved example with step by step work shows how to find what is the lcm of 7, 28 and 49 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 7, 28 and 49?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 7
B = 28
C = 49
What to be found:
find the lcm of 7, 28 and 49
step 2 Find the prime factors of 7, 28 and 49:
Prime factors of 7 = 7
Prime factors of 28 = 2 x 2 x 7
Prime factors of 49 = 7 x 7
step 3 Identify the repeated and non-repeated prime factors of 7, 28 and 49:
{7} is the most repeated factor and {2, 2, 7} are the non-repeated factors of 7, 28 and 49.
step 4 Find the product of repeated and non-repeated prime factors of 7, 28 and 49:
= 7 x 2 x 2 x 7
= 196
lcm(20 and 30) = 196
Hence,
lcm of 7, 28 and 49 is 196
2 | 7 | 28 | 49 |
2 | 7 | 14 | 49 |
7 | 7 | 7 | 49 |
7 | 1 | 1 | 7 |
1 | 1 | 1 |