LCM of 35 and 49 is 245. LCM, also known as Least Common Multiple or Lowest Common Multiple, is the smallest numeral that is divisible by the given numbers. In the given set of numbers 35 and 49, 245 is the least number that is divisible by both 35 and 49. Therefore the LCM or LCD also known as the Least Common divisor for 35 and 49 is 245. You can refer to LCM for more information.
What is LCM of 35 and 49
The Least Common Multiple or Lowest Common Multiple of 35 and 49 is 245.
How to Find LCM of 35 and 49?
LCM of 35 and 49 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 35 and 49 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 35 and 49 can be expressed as;
35 = 5 × 7
49 = 7 × 7
7 is the common factor for both 35 and 49, along with other factors of 35 and 49 are multiplied to get the LCM.
LCM (35, 49) = 5 × 7 × 7 = 245
LCM of 35 and 49 Using Division Method
In the Division Method, the numbers 35 and 49 are divided by common and uncommon factors. The product of these common and uncommon factors forms the LCM.
|
5 |
35 |
49 |
|
7 |
7 |
49 |
|
7 |
1 |
7 |
|
× |
1 |
1 |
LCM (35, 49) = 5 × 7 × 7= 245
LCM of 35 and 49 Using Listing the Multiples
By listing all the multiples of 35 and 49, we can identify the LCM. Below is the list of multiples for 35 and 49
|
Multiples of 35 |
Multiples of 49 |
|
35 |
49 |
|
70 |
98 |
|
105 |
147 |
|
140 |
196 |
|
175 |
245 |
|
210 |
294 |
|
245 |
343 |
|
280 |
392 |
LCM (35, 49) = 245
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 35 and 49?
Answer: 245 is the smallest number that is divisible by both 35 and 49.
Is 245 a multiple of 35 and 49?
Answer: Yes. 245 is a multiple of 35 and 49.
Comments