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 414, 447, 276 i.e. 123372 smallest integer divisible by all numbers.
Least common multiple (LCM) of 414, 447, 276 is 123372.
LCM(414, 447, 276) = 123372
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 414, 447, 276 |
3 | 207, 447, 138 |
23 | 69, 149, 46 |
3, 149, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 23 x 3 x 149 x 2 = 123372
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 414,447,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,447,276) = 3
common factors(in case of two or more numbers have common factors) = 138
GCF(414,447,276) x common factors =3 x 138 = 414
LCM(414,447,276) = ( 414 × 447 × 276 ) / 414
LCM(414,447,276) = 51076008 / 414
LCM(414,447,276) = 123372
∴ Least Common Multiple of 414,447,276 is 123372
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 414, 447, 276?
Answer: LCM of 414, 447, 276 is 123372.
2. What are the Factors of 123372?
Answer: Factors of 123372 are . There are integers that are factors of 123372
3. How to Find the LCM of 414, 447, 276 ?
Least Common Multiple of 414, 447, 276.
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(414, 447, 276) = 2 x 2 x 3 x 3 x 23 x 149 = 123372.