Last updated on May 26th, 2025
The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.
The LCM of 4 and 11 is the lowest number that divides both 4 and 11 without leaving any remainder. The LCM of 4 and 11 is 44.
The LCM of 4 and 11 can be found by the following methods like division method, listing multiples, prime factorization.
In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.
2 divides 4 and not 11
2 divides 2 leaving 1
11 divides 11 leaving 1
LCM = 2 × 2× 11= 44.
We write the multiples of both numbers till we find the common one.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44…
Multiples of 11: 11, 22, 33, 44…
The common multiple is 44. So, the LCM of 4 and 11 is 44.
We write the multiples of both numbers till we find the common one.
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44…
Multiples of 11: 11, 22, 33, 44…
The common multiple is 44. So, the LCM of 4 and 11 is 44.
We part each number into divisors and select the highest powers of all the prime factors.
4= 2 × 2
11= 11
LCM = 2 × 2 × 11= 44.
While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them.
Calculate the LCM of 4,11 and 22.
The LCM of 4,11 and 22.
The LCM of 4 and 11 is 44
The LCM of 44 and 22 is also 44
Therefore, the LCM of
4,11, and 22 is 44.
Solve the following expression using LCM of 4 and 11: 3/4 + 5/11
The LCM of 4 and 11 is 44.
LCM(4,11)=44
3/4 = 3x 11/44 , 5/11=5x4/44
Add the fractions:
33/44 + 20/44 = 53/44
Two events occur every 4 days and 11 days, respectively. If both events coincide today, when will they next occur on the same day?
The LCM of 4 and 11 is 44.
LCM of 4 and 11 :
LCM(4,11)= 2 × 2 × 11=44
Both events will occur on the same day again in 44 days.
Solve for x: x/4 + x/11 =15
The value of x is 44.
LCM (4,11) =44
11x/44 + 4x/44 =15
15x= 15 × 44
15x = 660
x=44.
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.