LCM of 35 and 55 is 385. Among all common multiples of 35 and 55, the LCM of 35 and 55 is the smallest number. (35, 70, 105, 140, etc.) and (55, 110, 165, 220, 275, etc.) are the first few multiples of 35 and 55. To find the LCM of 35 and 55, you can use one of three methods: listing multiples, prime factorization, or division. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers.
Also read: Least common multiple
What is LCM of 35 and 55?
The answer to this question is 385. The LCM of 35 and 55 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 35 and 55, is the smallest positive integer 385 which is divisible by both 35 and 55 with no remainder.
How to Find LCM of 35 and 55?
LCM of 35 and 55 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 35 and 55 Using Prime Factorisation Method
The prime factorisation of 35 and 55, respectively, is given by:
35 = (5 × 7) = 51 × 71 and
55 = (5 × 11) = 51 × 111
LCM (35, 55) = 385
LCM of 35 and 55 Using Division Method
We’ll divide the numbers (35, 55) by their prime factors to get the LCM of 35 and 55 using the division method (preferably common). The LCM of 35 and 55 is calculated by multiplying these divisors.
| 5 | 35 | 55 |
| 7 | 7 | 11 |
| 11 | 1 | 11 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (35, 55) = 385
LCM of 35 and 55 Using Listing the Multiples
To calculate the LCM of 35 and 55 by listing out the common multiples, list the multiples as shown below
| Multiples of 35 | Multiples of 55 |
| 35 | 55 |
| 75 | 110 |
| 105 | 165 |
| …… | ……. |
| 385 | 385 |
The smallest common multiple of 35 and 55 is 385.
Therefore LCM (35, 55) = 385
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LCM of 35 and 55 Solved Example
Find the smallest number that is divisible by 35 and 55 exactly.
Solution:
The smallest number that is divisible by 35 and 55 exactly is their LCM.
⇒ Multiples of 35 and 55:
Multiples of 35 = 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, . . . .
Multiples of 55 = 55, 110, 165, 220, 275, 330, 385, . . . .
Therefore, the LCM of 35 and 55 is 385.
Frequently Asked Questions on LCM of 35 and 55
What is the LCM of 35 and 55?
List the methods used to find the LCM of 35 and 55.
If the LCM of 55 and 35 is 385, Find its GCF.
Since the LCM of 55 and 35 = 385
⇒ 385 × GCF(55, 35) = 1925
Therefore, the GCF (greatest common factor) = 1925/385 = 5.
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