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Last updated on November 30th, 2024

LCM of 19 and 57

Q: Are 19 and 57 prime numbers?

Factors of 19 are 19 and 1. It is a prime number. 57 is a composite number.

Q: Is 19 divisible by 57?

Yes. 57/19 =3. No remainders are left behind, so it is divisible by the number.

Q: What is the LCM of 9 and 57?

LCM of 9 and 57 is 171. 171 is the smallest number and a common multiple of the numbers 9 and 57.

Q: Find the HCF of 19 and 57?

HCF of 19 and 57 is 19. It is the greatest number that is also a factor of 19 and 57.

Q: Is 990 divisible by 2?

yes. 990/2= 495. No remainders are left behind, so it is divisible by the number.

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

LCM is both a common multiple and the smallest value between the numbers 19 and 57. We apply LCM in basic arithmetic and in real life-like instances where we find the smallest common time interval to align and schedule events etc.

LCM of 19 and 57

The LCM of 19 and 57 is 57. The LCM can be ascertained using anyone from the three methods discussed below.

LCM of 19 and 57 Using Listing the Multiples

list multiples of the numbers

19= 19,38,57,…

57= 57,114,171,…

Find the smallest number and the common number

LCM(19,57) = 57

LCM of 19 and 57 Using Prime Factorization

Prime factorize the numbers

19 = 19 — it is a prime number

57 = 19×3

Multiply the highest powers

19×3

LCM(19,57) = 57

LCM of [Topic] 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

LCM (19,57) = 57

Common mistakes and How to avoid them while finding the LCM of 19 and 57

LCM of 19 and 57 Examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

A project needs to be completed every 19 days, and an associated report is submitted every 57 days. What percentage of the project cycle aligns with the report submission?

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

Explanation

Problem 2

A machine performs an operation every 19 hours, while another machine performs its operation every 57 hours. If both machines started at the same time, when will they operate together again?

Explanation

Problem 3

Verify the relationship between the LCM and HCF of 19 and 57

Explanation

FAQs on Least Common Multiple of 19 and 57

1.Are 19 and 57 prime numbers?

2.Is 19 divisible by 57?

3. What is the LCM of 9 and 57?

4. Find the HCF of 19 and 57?

5.Is 990 divisible by 2?

Important Glossaries for LCM of 19 and 57

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.