What is the lcm of 27 and 7. Show workings bit by bit
To find the lcm of 27 and 7, we need to first list the multiples of each number until we find a common multiple.
Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270...
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105...
From the above multiples, we can see that the lowest common multiple (lcm) of 27 and 7 is 189. Therefore, the lcm of 27 and 7 is 189.
7 = 1*7
27 = 3*3*3
LCM = 7*3*3*3 = 189
or ,
since 7 and 27 have no common factor, their LCM is simply their product.
Yes, both methods are correct and give the same answer of LCM = 189. The first method involves listing out the multiples of each number and finding the lowest common multiple, while the second method involves finding the product of the numbers themselves if they have no common factors.
To find the least common multiple (LCM) of two numbers, you can follow these step-by-step instructions:
Step 1: Prime Factorization
Write each number as a product of its prime factors:
27 = 3 * 3 * 3
7 = 7
Step 2: Collect All Prime Factors
Collect all the unique prime factors from both numbers:
Prime factors of 27: 3
Prime factors of 7: 7
Step 3: Multiply Prime Factors
Multiply all the collected prime factors together:
3 * 3 * 3 * 7 = 63
Step 4: Result
The LCM of 27 and 7 is 63.
In this case, since both 27 and 7 are prime numbers, their prime factorizations are simply the numbers themselves. Thus, the prime factors of 27 are 3, 3, 3, and the prime factor of 7 is 7. By multiplying all the prime factors together, you get the LCM of 63.