LCM of 148 and 185 is 740. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The smallest number among all common multiples of 148 and 185 is the LCM of 148 and 185. (148, 296, 444, 592, 740, 888, etc.) and (185, 370, 555, 740, 925, 1110, etc.) are the first few multiples of 148 and 185, respectively. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples.
Also read: Least common multiple
What is LCM of 148 and 185?
The answer to this question is 740. The LCM of 148 and 185 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 148 and 185, is the smallest positive integer 740 which is divisible by both 148 and 185 with no remainder.
How to Find LCM of 148 and 185?
LCM of 148 and 185 can be found using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 148 and 185 Using Prime Factorisation Method
The prime factorisation of 148 and 185, respectively, is given by:
148 = (2 × 2 × 37) = 22 × 371 and
185 = (5 × 37) = 51 × 371
LCM (148, 185) = 740
LCM of 148 and 185 Using Division Method
We’ll divide the numbers (148, 185) by their prime factors to get the LCM of 148 and 185 using the division method (preferably common). The LCM of 148 and 185 is calculated by multiplying these divisors.
| 2 | 148 | 185 |
| 2 | 74 | 185 |
| 5 | 37 | 185 |
| 37 | 37 | 37 |
| x | 1 | 1 |
No further division can be done.
Hence, LCM (148, 185) = 740
LCM of 148 and 185 Using Listing the Multiples
To calculate the LCM of 148 and 185 by listing out the common multiples, list the multiples as shown below.
| Multiples of 148 | Multiples of 185 |
| 148 | 185 |
| 296 | 370 |
| 444 | 555 |
| 592 | 740 |
| 740 | 888 |
The smallest common multiple of 148 and 185 is 740.
Therefore LCM (148, 185) = 740
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LCM of 148 and 185 Solved Example
The product of two numbers is 27380. If their GCD is 37, what is their LCM?
Solution:
Given: GCD = 37
product of numbers = 27380
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 27380/37
Therefore, the LCM is 740.
The probable combination for the given case is LCM(148, 185) = 740.
Frequently Asked Questions on LCM of 148 and 185
What is the LCM of 148 and 185?
List the methods used to find the LCM of 148 and 185.
If the LCM of 185 and 148 is 740, Find its GCF.
Since the LCM of 185 and 148 = 740
⇒ 740 × GCF(185, 148) = 27380
Therefore, the GCF = 27380/740 = 37.
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