LCM of 42 and 49

LCM of 42 and 49 is 294. LCM stands for the Least Common Multiple or Lowest Common Multiple. LCM is the smallest numeral that is divisible by the given group of numbers. In the given set of numbers 42 and 49, 294 is the first(least or smallest) number that is common in the set of common multiples of 42 and 49. The LCM which is also known as LCD, Least Common Divisor for 42 and 49 is 294. You can read more on LCM for further details.

What is LCM of 42 and 49

The Least Common Multiple or Lowest Common Multiple of 42 and 49 is 294.

Lcm Of 42 And 49

How to Find LCM of 42 and 49?

LCM of 42 and 49 can be determined using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 42 and 49 Using Prime Factorisation Method

In the Prime Factorisation method, the numbers 42 and 49 can be expressed as;

42 = 2 × 3 × 7

49 = 7 × 7 

7 is the common factor for 42 and 49. 7 is multiplied with other factors of 42 and 49 to get the LCM.

LCM (42, 49) = 2 × 3 × 7 × 7 = 294

LCM of 42 and 49 Using Division Method

In the Division Method, the given set of numbers 42 and 49 are divided by prime divisors together. The product of prime divisors is the LCM.

2

42

49

3

21

49

7

7

49

7

1

7

×

1

1

Therefore LCM (42, 49) = 2 × 3 × 7 × 7 = 294

LCM of 42 and 49 Using Listing the Multiples

By listing all the multiples of 42 and 49, we can identify the LCM. Below is the list of multiples for 42 and 49

Multiples of 42

Multiples of 49

42

49

84

98

126

147

168

196

210

245

252

294

294

343

LCM (42, 49) = 294

Related Articles

Video Lesson on Applications of LCM

Solved Examples 

What is the smallest number that is divisible by both 42 and 49?

Answer: 294 is the smallest number that is divisible by both 42 and 49. 

What is the LCM for 7, 42 and 49? 

Answer: LCM for 7, 42 and 49 is 294 as 7 is the factor of 42 and 49.

Frequently Asked Questions on LCM of 42 and 49

What is the LCM of 42 and 49?

The LCM of 42 and 49 is 294.

Is the LCM of 42 and 49 the same as the Highest Common Factor of 42 and 49?

No. The Least Common Multiple of 42 and 49 is 294 and the Highest Common Factor of 42 and 49 is 7.

What are the common factors of 42 and 49?

1 and 7 are the common factors of 42 and 49.

What are the first 3 common multiples of 42 and 49?

The first three common multiples of 42 and 49 are 294, 588, and 882.

Is the LCM of 6 and 42 the same as the LCM of 6 and 49?

No. LCM of 6 and 42 is 42, whereas the LCM of 6 and 49 is 294. They are not the same.

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