LCM of 35, 42 and 49 is equal to 1470. The comprehensive work provides more insight of how to find what is the lcm of 35, 42 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 35, 42 and 49?
lcm (35 42 49) = (?)
35 => 5 x 7
42 => 2 x 3 x 7
49 => 7 x 7
= 7 x 5 x 2 x 3 x 7
= 1470
lcm (35, 42 and 49) = 1470
1470 is the lcm of 35, 42 and 49.
where,
35 is a positive integer,
42 is a positive integer,
1470 is the lcm of 35, 42 and 49,
{7} in {5 x 7, 2 x 3 x 7, 7 x 7} is the most repeated factors of 35, 42 and 49,
{5, 2, 3, 7} in {5 x 7, 2 x 3 x 7, 7 x 7} are the the other remaining factors of 35, 42 and 49.
Use in Mathematics: LCM of 35, 42 and 49
The below are some of the mathematical applications where lcm of 35, 42 and 49 can be used:
The below solved example with step by step work shows how to find what is the lcm of 35, 42 and 49 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 35, 42 and 49?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 35
B = 42
C = 49
What to be found:
find the lcm of 35, 42 and 49
step 2 Find the prime factors of 35, 42 and 49:
Prime factors of 35 = 5 x 7
Prime factors of 42 = 2 x 3 x 7
Prime factors of 49 = 7 x 7
step 3 Identify the repeated and non-repeated prime factors of 35, 42 and 49:
{7} is the most repeated factor and {5, 2, 3, 7} are the non-repeated factors of 35, 42 and 49.
step 4 Find the product of repeated and non-repeated prime factors of 35, 42 and 49:
= 7 x 5 x 2 x 3 x 7
= 1470
lcm(20 and 30) = 1470
Hence,
lcm of 35, 42 and 49 is 1470
2 | 35 | 42 | 49 |
3 | 35 | 21 | 49 |
5 | 35 | 7 | 49 |
7 | 7 | 7 | 49 |
7 | 1 | 1 | 7 |
1 | 1 | 1 |