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 146, 219, 249 i.e. 36354 smallest integer divisible by all numbers.
Least common multiple (LCM) of 146, 219, 249 is 36354.
LCM(146, 219, 249) = 36354
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 146, 219, 249 |
73 | 146, 73, 83 |
2, 1, 83 |
∴ So the LCM of the given numbers is 3 x 73 x 2 x 1 x 83 = 36354
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 146,219,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,219,249) = 1
common factors(in case of two or more numbers have common factors) = 219
GCF(146,219,249) x common factors =1 x 219 = 219
LCM(146,219,249) = ( 146 × 219 × 249 ) / 219
LCM(146,219,249) = 7961526 / 219
LCM(146,219,249) = 36354
∴ Least Common Multiple of 146,219,249 is 36354
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 219, 249?
Answer: LCM of 146, 219, 249 is 36354.
2. What are the Factors of 36354?
Answer: Factors of 36354 are . There are integers that are factors of 36354
3. How to Find the LCM of 146, 219, 249 ?
Least Common Multiple of 146, 219, 249.
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(146, 219, 249) = 2 x 3 x 73 x 83 = 36354.