FAQs on LCM of 28 and 42 The LCM of 28 and 42 is 84. To find the LCM (least common multiple) of 28 and 42, we need to find the multiples of 28 and 42 (multiples of 28 = 28, 56, 84, 112; multiples of 42 = 42, 84, 126, 168) and choose the smallest multiple that is exactly divisible by 28 and 42, i.e., 84.
How do you find the smallest common multiple?
How to find LCM by Prime Factorization
- Find all the prime factors of each given number.
- List all the prime numbers found, as many times as they occur most often for any one given number.
- Multiply the list of prime factors together to find the LCM.
Do 7 and 28 have common factors?
There are 2 common factors of 7 and 28, that are 1 and 7. Therefore, the greatest common factor of 7 and 28 is 7.
What are LCM of 7?
LCM of 7 and 7 is the smallest number among all multiples of 7. The first few multiples of 7 are (7, 14, 21, 28, 35, . . . ). There are 2 commonly used methods to find LCM of 7 and 7 – by division method, and by listing multiples.
What is the LCM for 24 and 28?
168
Answer: LCM of 24 and 28 is 168.
What are the common multiples of 28?
The first five multiples of 28 are 28, 56, 84, 112, and 140. You can see that the multiples of 28 are in the table of 28.
What is the highest common factor between 7 and 28?
The GCF of 7 and 28 is 7. The greatest common factor is the greatest number that is a factor for both the numbers you’re comparing.
Which is a common multiple of the number 7?
Multiples of 7 are: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, A common multiple is a whole number that is a shared multiple of each set of numbers.
How to calculate the least common multiple of 7 and 21?
The formula of LCM is LCM (a,b) = ( a × b) / GCF (a,b). We need to calculate greatest common factor 7 and 21, than apply into the LCM equation. Least common multiple can be found by multiplying the highest exponent prime factors of 7 and 21. First we will calculate the prime factors of 7 and 21. Prime factors of 7 are 7.
How to find the smallest number of multiples?
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 Multiples of 7: 7, 14, 21, 28, 35, 42, 56, 63 Multiples of 21: 21, 42, 63 Find the smallest number that is on all of the lists.
Which is the smallest common multiple of 3 and 4?
Common multiples of 3 and 4: 12, 24, 36, … A number can have an infinite number of multiples. Therefore, any two numbers or set of numbers can have the infinite number of common multiples. The smallest common multiple of two or more numbers is called their Least Common Multiple (LCM). The LCM of 3 and 4 is 12.