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Last updated on November 30th, 2024

LCM of 120 and 150

Q: What is the HCF of 120 and 150?

Factors of 120–1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120 Factors of 150–1,2,3,5,6,10,15,25,30,50,75,150 HCF(120,150) = 30

Q: What is the LCM of 125 and 150?

LCM(125,150) = 750. 750 is the smallest common multiple number of the numbers 125 and 150.

Q: What is the LCM of 100,150 and 120.

The smallest number and a common multiple of the numbers 100,150 and 120 is their LCM. LCM of 100,150 and 120 is 600.

Q: What is the LCM of 45,120 and 150?

1800 is the LCM of 45,120 and 150. It is the smallest number and a common multiple of the numbers 45,12 and 150.

Q: What is the LCM of 150 and 225?

LCM of 150 and 225 = 450. 450 is the smallest multiple of 150 and 225.

Professor Greenline Explaining Math Concepts

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LCM is the smallest and a common multiple of the numbers 120 and 150. We often apply the LCM to solve problems that have in them fractions, percentages, time intervals and others. Below, we explain how we find the LCM of 120 and 150.

What is the LCM of 120 and 150?

LCM (120,150) = 600

There are many ways to find the LCM, let us look at the listing multiples method, prime factorization method and the division method.

LCM of 120 and 150 Using Listing the Multiples

Step 1: List multiples of the numbers;

120–120,240,360,480,600,…

150– 150,300,450,600,…

Step 2: Find the smallest common number

LCM(120,150) = 600

LCM of 120 and 150 Using Prime Factorization

Step 1: Prime factorize the numbers

120 = 2×2×2×3×5

150= 2×3×5×5

Step 2: Multiply highest powers

2³×3×5² = 600

LCM(120,150) = 600

LCM of 120 and 150 Using Division Method

Write the numbers in a row

Divide them by their common prime factors

Carry forward the numbers that are not divided by the previously chosen number

Continue dividing until the remainder is ‘1’

Multiply the divisors to find the LCM — 2×2×2×3×5×5 = 600

LCM(120,150) = 600

Common mistakes to avoid while finding the LCM of 120 and 150

LCM of 120 and 150 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

Two machines A and B complete a cycle in 120 and 150 minutes, respectively. After how many minutes will both machines complete their cycle together again?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Explanation

Problem 2

The LCM of two numbers is 36 and the sum is 21. Find the numbers.

Explanation

Problem 3

If 120 items represent 20% of a total, and 150 items represent 25% of another total, what is the least common multiple of the totals?

Explanation

FAQs on the LCM of 120 and 150

1.What is the HCF of 120 and 150?

2.What is the LCM of 125 and 150?

3.What is the LCM of 100,150 and 120.

4.What is the LCM of 45,120 and 150?

5.What is the LCM of 150 and 225?

Important glossaries for LCM of 120 and 150

Multiple: product of a number and integer

Prime Factor: a number whose factors are itself and 1

Prime Factorization: breaking a large 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.