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 549, 488, 672 i.e. 122976 smallest integer divisible by all numbers.
Least common multiple (LCM) of 549, 488, 672 is 122976.
LCM(549, 488, 672) = 122976
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 549, 488, 672 |
2 | 549, 244, 336 |
2 | 549, 122, 168 |
3 | 549, 61, 84 |
61 | 183, 61, 28 |
3, 1, 28 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 61 x 3 x 1 x 28 = 122976
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 549,488,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,488,672) = 1
common factors(in case of two or more numbers have common factors) = 1464
GCF(549,488,672) x common factors =1 x 1464 = 1464
LCM(549,488,672) = ( 549 × 488 × 672 ) / 1464
LCM(549,488,672) = 180036864 / 1464
LCM(549,488,672) = 122976
∴ Least Common Multiple of 549,488,672 is 122976
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 549, 488, 672?
Answer: LCM of 549, 488, 672 is 122976.
2. What are the Factors of 122976?
Answer: Factors of 122976 are . There are integers that are factors of 122976
3. How to Find the LCM of 549, 488, 672 ?
Least Common Multiple of 549, 488, 672.
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(549, 488, 672) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 61 = 122976.