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 114, 3452 i.e. 196764 smallest integer divisible by all numbers.
Least common multiple (LCM) of 114, 3452 is 196764.
LCM(114, 3452) = 196764
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 114, 3452 |
57, 1726 |
∴ So the LCM of the given numbers is 2 x 57 x 1726 = 196764
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 114,3452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,3452) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,3452) x common factors =2 x 1 = 2
LCM(114,3452) = ( 114 × 3452 ) / 2
LCM(114,3452) = 393528 / 2
LCM(114,3452) = 196764
∴ Least Common Multiple of 114,3452 is 196764
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 114, 3452?
Answer: LCM of 114, 3452 is 196764.
2. What are the Factors of 196764?
Answer: Factors of 196764 are . There are integers that are factors of 196764
3. How to Find the LCM of 114, 3452 ?
Least Common Multiple of 114, 3452.
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(114, 3452) = 2 x 2 x 3 x 19 x 863 = 196764.