Free LCM Calculator determines the least usual multiple (LCM) in between 4 and 10 the the smallest integer the is 20 the is divisible through both numbers.
You are watching: The lcm of 4 and 10
Least common Multiple (LCM) of 4 and also 10 is 20.
LCM(4,10) = 20
Least common multiple have the right to be uncovered by multiply the highest exponent prime determinants of 4 and 10. An initial we will calculate the prime determinants of 4 and also 10.
Prime factorization of 4
| 2 | 4 |
| 2 | 2 |
| 1 |
Prime determinants of 4 are 2. Element factorization the 4 in exponential form is:
4 = 22Prime factorization of 10
| 2 | 10 |
| 5 | 5 |
| 1 |
Prime determinants of 10 space 2,5. Prime factorization the 10 in exponential type is:
10 = 21×51Now multiplying the highest exponent prime factors to calculate the LCM the 4 and also 10.
LCM(4,10) = 22×51LCM(4,10) = 20
Factors of 4
List of confident integer factors of 4 that divides 4 there is no a remainder.
1, 2, 4
Factors that 10
List of optimistic integer factors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Least usual Multiple of 4 and also 10 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).We need to calculate greatest usual factor 4 and also 10, than apply into the LCM equation.
GCF(4,10) = 2LCM(4,10) = ( 4 × 10) / 2LCM(4,10) = 40 / 2LCM(4,10) = 20
Properties the LCM 4 and 10
(i) The LCM of 10 and 4 is associative
LCM of 4 and 10 = LCM of 10 and 4
Related Least common Multiples of 4
Related Least common Multiples the 10
Frequently Asked concerns on LCM of 4 and also 10
1. What is the LCM of 4 and also 10?
Answer: LCM of 4 and also 10 is 20.
2. What space the determinants of 4?
Answer: components of 4 are 1, 2, 4. There space 3 integers the are determinants of 4. The greatest element of 4 is 4.
3. What room the components of 10?
Answer: determinants of 10 room 1, 2, 5, 10. There room 4 integers the are factors of 10. The greatest variable of 10 is 10.
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4. Just how to find the LCM the 4 and 10?
Answer:
Least common Multiple of 4 and also 10 = 20
Step 1: discover the prime factorization that 4
4 = 2 x 2
Step 2: find the prime factorization that 10
10 = 2 x 5
Step 3: main point each aspect the greater number of times it occurs in procedures i) or ii) over to find the lcm:
LCM = 20 = 2 x 2 x 5
Step 4: Therefore, the least typical multiple of 4 and also 10 is 20.
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