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 441, 279, 273, 736 i.e. 130804128 smallest integer divisible by all numbers.
Least common multiple (LCM) of 441, 279, 273, 736 is 130804128.
LCM(441, 279, 273, 736) = 130804128
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 441, 279, 273, 736 |
3 | 147, 93, 91, 736 |
7 | 49, 31, 91, 736 |
7, 31, 13, 736 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 7 x 31 x 13 x 736 = 130804128
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 441,279,273,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,279,273,736) = 1
common factors(in case of two or more numbers have common factors) = 189
GCF(441,279,273,736) x common factors =1 x 189 = 189
LCM(441,279,273,736) = ( 441 × 279 × 273 × 736 ) / 189
LCM(441,279,273,736) = 24721980192 / 189
LCM(441,279,273,736) = 130804128
∴ Least Common Multiple of 441,279,273,736 is 130804128
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 441, 279, 273, 736?
Answer: LCM of 441, 279, 273, 736 is 130804128.
2. What are the Factors of 130804128?
Answer: Factors of 130804128 are . There are integers that are factors of 130804128
3. How to Find the LCM of 441, 279, 273, 736 ?
Least Common Multiple of 441, 279, 273, 736.
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(441, 279, 273, 736) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 x 13 x 23 x 31 = 130804128.