LCM of 7 and 35 is 35. LCM, also known as Least Common multiple or Lowest common multiple, is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 7 and 35, 35 is the smallest number that is divisible by both 7 and 35. Therefore the LCM or LCD, also known as the Least Common divisor for 7 and 35, is 35. You can refer to LCM for more information.
What is LCM of 7 and 35
The Least Common Multiple or Lowest Common Multiple of 7 and 35 is 35.
How to Find LCM of 7 and 35?
LCM of 7 and 35 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 7 and 35 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 7 and 35 can be expressed as;
7 = 1 x 7
35 = 5 x 7
LCM (7, 35) = 5 x 7 = 35
LCM of 7 and 35 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all until no further division is possible or only when prime numbers are left.
|
7 |
7 |
35 |
|
5 |
1 |
5 |
|
x |
1 |
1 |
Hence, LCM (7, 35) = 5 x 7 = 35
LCM of 7 and 35 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 7 and 35.
|
Multiples of 7 |
Multiples of 35 |
|
7 |
35 |
|
14 |
70 |
|
21 |
105 |
|
28 |
140 |
|
35 |
175 |
|
42 |
210 |
LCM (7, 35) = 35
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 7 and 35?
Answer: 35 is the smallest number that is divisible by both 7 and 35.
Is 35 a multiple of 7 and 35?
Answer: Yes. 35 is a multiple of 7 and 35.
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