Lcm Of 4 And 12
LCM of 4, 10 and 12 is threescore. The least common multiple denotes the smallest positive integer, which is multiple in a given set up of numbers. The commodity Least Common Multiple (LCM) explains the LCM concept in an easy to sympathise format. Using this article while solving bug provides an extra edge and boosts confidence among students during final examinations. Hither, nosotros volition larn how to verify the to the lowest degree common multiple of 4, 10 and 12 in an efficient way.
What is LCM of four, 10 and 12?
The Least Common Multiple of 4, 10 and 12 is lx.
How to Discover LCM of 4, 10 and 12?
The LCM of 4, 10 and 12 can be determined using three methods:
- Prime Factorisation
- Segmentation method
- Listing the Multiples
LCM of four, 10 and 12 Using Prime Factorisation Method
In the prime factorisation method, the given natural numbers are expressed as the product of prime factors. Hence the numbers 4, x and 12 can exist expressed every bit;
four = two × ii
x = 2 × v
12 = ii × 2 × 3
LCM (4, x, 12) = 2 × 2 × 3 × 5 = 60
LCM of 4, ten and 12 Using Division Method
In the sectionalization method, we divide the numbers iv, x and 12 by a common prime until the remainder is a prime number or one. The product of these divisors gives the least common multiple of 4, 10 and 12.
| 2 | four | 10 | 12 |
| ii | 2 | v | 6 |
| 3 | 1 | 5 | 3 |
| 5 | 1 | 5 | 1 |
| ten | 1 | 1 | ane |
No further division can be washed.
Hence, LCM (4, 10, 12) = 2 × 2 × 3 × 5 = threescore
LCM of 4, 10 and 12 Using Listing the Multiples
Here, we listing downwardly the multiples of each number until the start common multiple is found amid them. The multiples of iv, ten and 12 are every bit follows:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ………., 52, 56, 60, ……..
Multiples of x: 10, 20, 30, forty, 50, 60, …….
Multiples of 12: 12, 24, 36, 48, 60, …….
LCM (4, 10, 12) = sixty
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Solved Instance
Question: What is the smallest number that is divisible by iv, 10, 12 exactly?
Solution: The smallest number that is divisible by 4, 10,12 exactly is their LCM. The LCM of four, 10 and 12 is 60. Hence the smallest that is divisible by 4, 10, 12 exactly is 60.
Frequently Asked Questions on LCM of 4, 10 and 12
What is the LCM of 4, 10 and 12?
The LCM of iv, x and 12 is lx.
Is the LCM of four, x and 12 and the HCF of iv, 10 and 12 are same?
No. The LCM of iv, 10 and 12 is 60 and the HCF of 4, 10 and 12 is 2.
What are the methods used to find the LCM of 4, x and 12?
The methods used to notice the LCM of 4, x and 12 are every bit follows:
Prime number Factorisation
Sectionalisation method
Listing of Multiples
Decide the LCM of 4, x and 12 using prime factorisation.
In prime factorisation, we express the given numbers as the product of prime factors to make up one's mind their LCM
4 = 2 × 2
10 = two × five
12 = 2 × 2 × 3
LCM (iv, 10, 12) = ii × two × three × five = lx
Is 50 the LCM of iv, 10 and 12?
No. The LCM of four, 10 and 12 is 60.
Lcm Of 4 And 12,
Source: https://byjus.com/maths/lcm-of-4-10-and-12/
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