LCM of 143 and 169 is equal to 1859. The comprehensive work provides more insight of how to find what is the lcm of 143 and 169 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 143 and 169?
lcm (143 169) = (?)
143 => 11 x 13
169 => 13 x 13
= 13 x 11 x 13
= 1859
lcm (143 and 169) = 1859
1859 is the lcm of 143 and 169.
where,
143 is a positive integer,
169 is a positive integer,
1859 is the lcm of 143 and 169,
{13} in {11 x 13, 13 x 13} is the common factors of 143 and 169,
{11 x 13} in {11 x 13, 13 x 13} are the uncommon factors of 143 and 169.
Use in Mathematics: LCM of 143 and 169
The below are some of the mathematical applications where lcm of 143 and 169 can be used:
The below solved example with step by step work shows how to find what is the lcm of 143 and 169 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 143 and 169?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 143
B = 169
What to be found:
find the lcm of 143 and 169
step 2 Find the prime factors of 143 and 169:
Prime factors of 143 = 11 x 13
Prime factors of 169 = 13 x 13
step 3 Identify the repeated and non-repeated prime factors of 143 and 169:
{13} is the most repeated factor and {11 x 13} are the non-repeated factors of 143 and 169.
step 4 Find the product of repeated and non-repeated prime factors of 143 and 169:
= 13 x 11 x 13
= 1859
lcm(143 and 169) = 1859
Hence,
lcm of 143 and 169 is 1859
11 | 143 | 169 |
13 | 13 | 169 |
13 | 1 | 13 |
1 | 1 |