LCM of 75 and 79
5925 is the LCM of 75 and 79. The step-by-step solution using prime factors and special division methods is one of the simple methods to easily understand how to find what is the LCM of 75 and 79, provided along with the use cases of mathematics and real-world problems.
what is the lcm of 75 and 79?
lcm (75 79) = (?)
75 => 3 x 5 x 5
79 => 79
= 3 x 5 x 5 x 79
= 5925
lcm (75 and 79) = 5925
5925 is the LCM of 75 and 79.
where,
75 is a positive integer,
79 is a positive integer,
5925 is the LCM of 75 and 79,
There is no common factors of 75 and 79 in {3 x 5 x 5, 79},
{3 x 5 x 5 x 79} in {3 x 5 x 5, 79} are the uncommon factors of 75 and 79.
Use in Mathematics: LCM of 75 and 79
The below are some of the mathematical applications where lcm of 75 and 79 can be used:
- to find the least number which is exactly divisible by 75 and 79.
- to find the common denominator for two fractions having 75 and 79 as denominators in the unlike fractions addition or subtraction.
In the context of lcm real world problems, the lcm of 75 and 79 helps to find the exact time when two similar and recurring events with different time schedule happens together at the same time. For example, the real world problems involve lcm in situations to find at what time the bells A and B all toll together, if bell A tolls at 75 seconds and bell B tolls at 79 seconds repeatedly. The answer is that all bells A and B toll together at 5925 seconds for the first time, at 11850 seconds for the second time, at 17775 seconds for the third time and so on.
Important Notes: 75 and 79 lcm
The below are the important notes to be remembered while solving the lcm of 75 and 79:
- The common prime factors and the remaining prime factors of 75 and 79 should be multiplied to find the least common multiple of 75 and 79, when solving lcm by using prime factors method.
- The results of lcm of 75 and 79, and the lcm of 79 and 75 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
How-to: What is the LCM of 75 and 79?
The below solved example with step by step work shows how to find what is the lcm of 75 and 79 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 75 and 79?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 75
B = 79
What to be found:
find the lcm of 75 and 79
step 2 Find the prime factors of 75 and 79:
Prime factors of 75 = 3 x 5 x 5
Prime factors of 79 = 79
step 3Identify the repeated and non-repeated prime factors of 75 and 79:
Since there is no common factors between 75 and 79, multiplying the given numbers directly provides the LCM of
75 and 79.
= 75 x 79
= 5925
lcm(75 and 79) = 5925
Hence,
lcm of 75 and 79 is 5925
This special division method is one of the easiest ways to understand the entire calculation to find the LCM of 75 and 79.
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 75 and 79
What to be found:
lcm (75, 79) = ?
step 2 Arrange the given integers in the horizontal form with space or comma separated format:
75 and 79
step 3 Choose the divisor which divides each or most of the given integers (75 and 79), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if any integer in 75 and 79 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:
| 3 | 75 | 79 |
| 5 | 25 | 79 |
| 5 | 5 | 79 |
| 79 | 1 | 79 |
| 1 | 1 |
step 4 Multiply the divisors to find the lcm of 75 and 79:
= 3 x 5 x 5 x 79
= 5925
LCM(75, 79) = 5925
The LCM of two numbers 75 and 79 is 5925