Free LCM Calculator determines the least usual multiple (LCM) in between 3 and 7 the the smallest integer that is 21 the is divisible through both numbers.
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Least typical Multiple (LCM) of 3 and 7 is 21.
LCM(3,7) = 21
Least typical multiple deserve to be discovered by multiplying the greatest exponent prime determinants of 3 and 7. An initial we will calculate the prime determinants of 3 and 7.
Prime administer of 3
3 | 3 |
1 |
Prime factors of 3 are 3. Prime factorization of 3 in exponential type is:
3 = 31Prime factorization of 7
7 | 7 |
1 |
Prime components of 7 space 7. Element factorization the 7 in exponential type is:
7 = 71Now multiply the highest exponent prime determinants to calculation the LCM the 3 and 7.
LCM(3,7) = 31×71LCM(3,7) = 21
Factors that 3
List of hopeful integer determinants of 3 that divides 3 without a remainder.
1, 3
Factors that 7
List of hopeful integer determinants of 7 that divides 7 without a remainder.
1, 7
Least common Multiple of 3 and also 7 v GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).We must calculate greatest usual factor 3 and 7, than use into the LCM equation.
GCF(3,7) = 1LCM(3,7) = ( 3 × 7) / 1LCM(3,7) = 21 / 1LCM(3,7) = 21
Properties that LCM 3 and 7
(i) The LCM the 7 and also 3 is associative
LCM of 3 and 7 = LCM that 7 and 3
Related Least typical Multiples that 3
Related Least typical Multiples of 7
Frequently Asked questions on LCM that 3 and 7
1. What is the LCM that 3 and also 7?
Answer: LCM that 3 and also 7 is 21.
2. What room the determinants of 3?
Answer: determinants of 3 room 1, 3. There space 2 integers that are components of 3. The greatest variable of 3 is 3.
3. What space the components of 7?
Answer: factors of 7 are 1, 7. There space 2 integers the are components of 7. The greatest aspect of 7 is 7.
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4. Just how to uncover the LCM of 3 and 7?
Answer:
Least common Multiple that 3 and also 7 = 21
Step 1: discover the prime factorization that 3
3 = 3
Step 2: discover the prime factorization of 7
7 = 7
Step 3: main point each factor the greater variety of times it occurs in steps i) or ii) above to uncover the lcm:
LCM = 21 = 3 x 7
Step 4: Therefore, the least typical multiple that 3 and 7 is 21.
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