Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 407, 374, 51 i.e. 41514 smallest integer divisible by all numbers.
Least common multiple (LCM) of 407, 374, 51 is 41514.
LCM(407, 374, 51) = 41514
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
11 | 407, 374, 51 |
17 | 37, 34, 51 |
37, 2, 3 |
∴ So the LCM of the given numbers is 11 x 17 x 37 x 2 x 3 = 41514
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 407,374,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,374,51) = 1
common factors(in case of two or more numbers have common factors) = 187
GCF(407,374,51) x common factors =1 x 187 = 187
LCM(407,374,51) = ( 407 × 374 × 51 ) / 187
LCM(407,374,51) = 7763118 / 187
LCM(407,374,51) = 41514
∴ Least Common Multiple of 407,374,51 is 41514
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 374, 51?
Answer: LCM of 407, 374, 51 is 41514.
2. What are the Factors of 41514?
Answer: Factors of 41514 are . There are integers that are factors of 41514
3. How to Find the LCM of 407, 374, 51 ?
Least Common Multiple of 407, 374, 51.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(407, 374, 51) = 2 x 3 x 11 x 17 x 37 = 41514.