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147 LearnersLast updated on November 29th, 2024
LCM of 4,6 and 10
LCM is a common multiple, the smallest value between the numbers 4,6 and 10. Did you know? We apply LCM unknowingly in everyday situations like setting alarms and to synchronize traffic lights and when making music.
What is the LCM of 4,6 and 10?
The LCM of 4,6 and 10 is 60. We can find the LCM using the Listing multiples method, the prime factorization method and the long division method. These are explained below.
LCM of 4,6 and 10 Using Listing the Multiples
Step 1 :Write down the multiples of the numbers. Don’t stop too early.
Multiples of 4= 4,8,12,16,20,24,28,32,36,40,44,48,52,56,60,…
Multiples of 6 =6,12,18,24,30,36,42,48,54,60,…
Multiples of 10 = 10,20,30,40,50,60,…
Step 2: Find the smallest number common between the written multiples of 4,6 and 10.
— The smallest common multiple is 60
Thus, LCM(4,6,10) = 60
LCM of 4,6 and 10 Using Prime Factorization Method
Step 1: factorize the numbers into its prime factors
4 = 2×2
6 = 3×2
10 = 2×5
Step 2: find the highest powers of the factors of 4,6 and 10.
Step 3: Multiply the highest powers
LCM(4,6,10) = 60
LCM of 4,6 and 10 Using Division Method
Steps:
- Write the numbers 4,6,10 in a row
- Divide them by their common prime factors, if there is one
- Carry forward the numbers that are left undivided by the previously chosen factor
- Continue dividing until the remainder is ‘1’
- Multiply the divisors to find the LCM
- LCM(4,6,10) = 60
Common Mistakes and how to avoid them while finding the LCM of 4,6 and 10
LCM of 4,6 and 10 Examples
Problem 1
Rockets of type A, B and C are launched every 4,6 and 10 minutes for a certain experiment. When next will they be launched at the same time?
Explanation
Problem 2
If the LCM of 4, 6, and 10 represents 100%, what percentage of the LCM does the GCD of 4, 6, and 10 represent?
Explanation
Problem 3
The LCM of three numbers, 4, 6, and a third number, is 60. If the third number is a multiple of 10, what is the third number?
Explanation
FAQ’s on LCM of 4,6 and 10
1.What is the LCM of 4,5,6 and 10?
2.What is the LCM of 4,6,8,10 and 12?
3.What is the HCF of 7 and 12?
4.What is the LCM of 6 and 10?
5.What is the LCM of 4,6 and 9?
Important glossaries for the LCM of 4,6 and 10
- Multiple — product of a number and a natural integer
- Prime factor — number one gets after prime factorization any given number
- Prime factorization — the process of breaking the number into its prime factors.
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Hiralee Lalitkumar Makwana
About the Author
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.
Fun Fact
: She loves to read number jokes and games.
