Lcm Of 20 And 12
LCM of 12 and twenty is 60. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given ready of numbers. In the given set of numbers 12 and xx, sixty is the first(to the lowest degree or smallest) number that is common in the set of multiples of 12 and 20. The LCM is likewise known equally LCD, Least Common Divisor for 12 and 20 is 60. You can use the Prime Factorization and Division method to solve the LCM problems.
What is LCM of 12 and 20
The To the lowest degree Common Multiple or Lowest Mutual Multiple of 12 and twenty is 60.
How to Find LCM of 12 and 20?
LCM of 12 and 20 can be determined using three methods:
- Prime number Factorisation
- Sectionalization method
- Listing the multiples
LCM of 12 and twenty Using Prime Factorisation Method
In the Prime number Factorisation method, the numbers tin can be expressed as the production of prime number numbers. Here, 12 and twenty tin can exist expressed as;
12 = ii x ii x 3
20 = 2 ten 2 x 5
LCM (12, twenty) = two ten two x 3 x 5 = 60
LCM of 12 and 20 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 sectionalisation is possible or only when prime numbers are left.
| 2 | 12 | 20 |
| two | 6 | x |
| 3 | 3 | 5 |
| 5 | one | 5 |
| x | one | 1 |
No farther sectionalization can be washed. Hence, LCM (12, 20) = 2 x 2 x 3 x 5 = threescore
LCM of 12 and 20 Using Listing the Multiples
Past listing all the multiples of given numbers, we tin identify the kickoff/smallest/to the lowest degree common multiple, which is the LCM. Below is the list of multiples for 12 and 20
| Multiples of 12 | Multiples of 20 |
| 12 | twenty |
| 24 | 40 |
| 36 | sixty |
| 48 | eighty |
| sixty | 100 |
| 72 | 120 |
| 84 | 140 |
LCM (12, 20) = sixty
Related Manufactures
- LCM
- LCM with Examples
- HCF and LCM
- LCM Formula
- Reckoner
Video Lesson on Applications of LCM
Solved Examples
- What is the smallest number that is divisible by both 12 and 20?
Respond: 60 is the smallest number that is divisible by both 12 and twenty.
2. What is the LCM for i, 12 and 20?
Answer: LCM for 1, 12 and 20 is 60.
Frequently Asked Questions on LCM of 12 and twenty
What is the LCM of 12 and 20?
The LCM of 12 and xx is 60.
Is the LCM of 12 and 20 the aforementioned as the HCF of 12 and 20?
No. To the lowest degree Common Multiple of 12 and 20 is lx and Highest Common Factors of 12 and xx is 4.
What is the common factor of 12 and 20?
1, 2, 4 are the common factors of 12 and 20.
Lcm Of 20 And 12,
Source: https://byjus.com/maths/lcm-of-12-and-20/#:~:text=The%20LCM%20of%2012%20and%2020%20is%2060.
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