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 774, 450, 549, 189 i.e. 24787350 smallest integer divisible by all numbers.
Least common multiple (LCM) of 774, 450, 549, 189 is 24787350.
LCM(774, 450, 549, 189) = 24787350
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 774, 450, 549, 189 |
3 | 387, 225, 549, 189 |
3 | 129, 75, 183, 63 |
43, 25, 61, 21 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 43 x 25 x 61 x 21 = 24787350
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 774,450,549,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,450,549,189) = 9
common factors(in case of two or more numbers have common factors) = 162
GCF(774,450,549,189) x common factors =9 x 162 = 1458
LCM(774,450,549,189) = ( 774 × 450 × 549 × 189 ) / 1458
LCM(774,450,549,189) = 36139956300 / 1458
LCM(774,450,549,189) = 24787350
∴ Least Common Multiple of 774,450,549,189 is 24787350
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 774, 450, 549, 189?
Answer: LCM of 774, 450, 549, 189 is 24787350.
2. What are the Factors of 24787350?
Answer: Factors of 24787350 are . There are integers that are factors of 24787350
3. How to Find the LCM of 774, 450, 549, 189 ?
Least Common Multiple of 774, 450, 549, 189.
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(774, 450, 549, 189) = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 43 x 61 = 24787350.